{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n",
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "#some magicto show the images inside the notebook\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%pylab inline\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import cv2\n",
    "from matplotlib import pyplot as plt\n",
    "from mrf import MRFStereo, read_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([[160, 160, 160, ..., 240, 176, 176],\n",
       "       [160, 160, 160, ..., 240, 176, 176],\n",
       "       [160, 160, 160, ..., 240, 176, 176],\n",
       "       ...,\n",
       "       [176, 176, 176, ..., 240, 240,   0],\n",
       "       [176, 176, 176, ..., 240, 240, 240],\n",
       "       [176, 176, 176, ..., 240, 240, 240]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mrf = MRFStereo(\n",
    "    dict(\n",
    "        LAMBDA=0.5,\n",
    "        SMOOTHNESS_TRUNC=2,\n",
    "        squared=False\n",
    "    )\n",
    ")\n",
    "mrf.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 1 / 30, energy = 59097.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 2 / 30, energy = 50779.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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fyxGQyh+QQ+gWY0cNSCnC6vZlsRrLd5CJkLkUy+9F5dEkDJpoS5eXqfbl7y7Lq5GrREyKtSaCjiHH+MXLBJQRCCfXmP93zOm/RuY4Wi3Islnfidqd7iGvK6kb6ouPPPKI+ZpBEOzLX/5yPPzww9XuF+qUNUgsNtBzfqsx+HLRxG80NEj4O1CnnkwmBylFegiQ5MoHC28PLes83dtKslw6Ho/HJnKVx+TkSFve5LQZbTvCnfVzVwh8JUfZ+yVCddNUhZFDrNrvJLVSnWmkmYtSVSC/brlcHvql5X5N1AqDIFgJi/41F5aBITuAHGSr1Sq7g1CHs+qZ2tRHheq1tOPH3IdS0J6XyljU1BPC8o70fFkOyg9K4ANzvV4fCC7km5tTXm1XZVk+4NmJRLZrU7/mHNBKUdZXSB87n88P5ZbtIds/ZuSk31LkR+WgOry8vDw8PxTkoI0TzgWf+cxnos/kGCTBarB2Ut4oIUdzjVD4LKvdp2nUEH+mldC6lHBrlIl3ws1mE3WA58ctz5YDOETGsaihGhIU3T9niczPT/VjLaKpxKm/K93wbrfLkspD5AqEdwWJqbGshqtQTgwgT6C7uLjI2ryzEcE657YAngZwG8C3vPcPOOdeBOADAMYAtgB+3Hv/ldh9/uiP/qhJMY7ACSBGBilLsLwPnWNRykuylr/z39pw89HUD9RpY+8xNFcjIpbQAKaBRb9bcuqm3jE0eNbrdXJrEYnJZFIttn232/W+W7JESOjg0itthKkltG7b3iDRJPqs1AZQQ4L9T733X2Lf3wHg4977dznn3rH//jOpmzTd1lmDJf0dOaHHKn6xWCTPKSWn2vH00sDE79+mVBOz+mp1IwddEzcxLYdnLZAOt3YSkNroKs2hlo1qvV4f7UzbBLKvWHMEt53xrvT+bagI3ghgsv/8XgBrGAg2F7V8YHOSi5QiRtA1ggg4OKnK/21Ck0ho0PG8oJoLUIj4d7udSXLQEnyUJAjXsN1ur5GGfFasjLlS7Ha7VctumUR4eO9msymeUGnJbNFN8vJpoHtobpNcV0zvLCXdJmOb90cS4ErImIyIJTzwvOwrjuEB/Bvn3O865x7aH3uJ9/4JANj/f3HDZ6iYzWaHvxpog4Q0fXDXWK/XR5u+tQWru5cMW23yPO0zUI9cOcbj8UGabXO/qlDdlDyziSuSFdrkYR2TqT5ZQxrm9Un9go7Ru04mk8MfB995YbPZHHagvX37trkMTQn2dd771wD4MQBvdc79sPVC59xDzrlHnHOPfPvb3z76rY3lWF+5RpfLpbmj15Zmh4qcySY1CCXxNGnnWDuRJMt9djUMJaS77/3cUi5ibZMrQfaH6XSK6XR6RK4ctOLgHNRkXDYiWO/94/v/TwH4VwBeC+BJ59y9ALD//1Tg2oe99w947x943vOa8nw5yEex7YHRtUJfou0QQa3+iJT48rZkxUGDUU68MiKNqyBywfWIKVxcXFyrz9gqgQ/iJhOARTKfz+eNk6X3CU0lw0EriRyJnvrfbrc76pMWFy9y6+pcReCc+/POuZv0GcBfBfApAB8G8Ob9aW8G8Kulz7hTYO30tSRYbnwYCmoN3JAbE//f5J5y8NLSkchttVodGWNrh2DX8uTg4bylsKgLtKV1LqwqHc032QoiWO04Bx+D2ipgNBrhxo0b5uc2ER1fAuA3nHO/D+C3Afxr7/3/BeBdAH7UOfeHAH50/z2KLvZgH8rSrSt0nXfBIqHLAU86dOtEEAtXnQV2Dy0FEa0m5ZDxLbYM5wOVE3KqHzYhxVp9vKQMTUhWZlbjwQCloGgtC+h9Y/t3laLYi8B7/8cA/mPl+JcB/Eju/VarlSkCpURxX6OiTmnPeu5a0oXuOTQYUkYh3t5EsiFphpPwer1ubMjibTmdTg/LR62+yKWM9HPaHmNy+3EarLP9XlQ5GeJy26xGfUhoBmQ+2VhUTjTJhyY+8q4Bjse1dozOB54l891ud7hHyJ3KslFijFNGo1Eyn0UMJxPJdYYdQ5gIOKnGQmBTk+put6vqsB96BvBsVFCIZC8uLjCdTtXdEmKb5slUjacwWWttkrO1UYkUXKIiS5UpJ6cwnxg5mhgM+7MuFaIvJfzQBwRH6QZyNUArEUJTvbJm7a0hrYX0tqEBGxpko9EIl5eX1/rH0KLiaiM1HngfCE2uRGghYktBbryolYl0xJRHRKoN2h7Xg5FghxYGeKcgtpTTssOHiJfuoy3BKCsRSWY0WGq3aW2DklUii0kwoQQ0NJBrD+A2Ih4lagkxsYxxPCCCfLUtyNH1hpI1pXYlls9okpXs5CTYPtC360opcsko1olIB6ntExbLckVkGyL6xWKRZeTcbDbFEk8N5HpolLjnlZDyKa2wiMCIXOmY5U8id/me2m5cI1f+PxeDkWClbqsWeMXQ/Xmn579r217wCj6V7PUUhtjm/YHrexwtFosjUud1yT9rhBoyyHHjUBfeJhpkqCSRQo5eOIcIttvtSRCmNp408H4Scn0qgVXXayVH8g6puUoaDMHmoJTsUsaF7Xbbq3TEkdpArili21trdXR5eXlk4ZauRzmDRDN6Uait5tK02WwOJJvTPvxeIeOURIj8tWW5PDeV6N2aNJyMYrFwYFm+Nkg5tpSm30oCWHa73ZH02iShCq9zuh9PpK0FgOx2u2Cmu9ikSeXMCZUdFME2sa7yQbfb7bBcLoMzFyUmCVlKQ7/nkm8Tkow9q2aKQ17nMZ2ZRQqQuxeQVLrZbA6Gqab6QykVtz0Zxvpjbq6JJhJ4amyMx2M18XUpUuTOXaNI4AntGKL5E6fy3sZIXULeSya9ie2F1zYGp4MNRVyksFgsjsIyQxVJ0lbsd6BOQ4SWyDnXaySSigzLWbrKTmvdtSFkyZdtp229EgKP9dfuRQTO/0IkS/eiPx4umQNLSCWB5wFucyCH6rCmBGv1riDwCbjJu5eO/xgot4C2K0KqrzcNcR+UBFsToUZKDZbY70NQHVjRxS66ZP2t4TvIByi/djweX9uhVmvbkO5cQ2wAp7at0SB3ZwCu7zOWs5Sez+eHCSGkrukCuUSn7RwCtJ8HI1QWLctayguBB5MQmpDsyRKs1MMO1dLfJynHSJZ0fHyw5pR1NBoVG9Ioyz1BegbQ/yYO3loUkHT41xDLkmXJx0rnavdtSjShOu8rU1wtcDKrGVBizfUcO69peU6WYIFnSXao5NoX+ACvkbaOW8/l/UIEniM90z0lwefsJJvCYrEIWrBTA1H6AKe232krcxoFNGjlXa1WqnRGE2gbOXLbgPYOIZLLnVjkvak9NSNmLaI/aYIlnEk2H6Xqg9RSnY6X6AOJAFNl00iGBkRsrydNN2glVw7yqNDKlbpPbt3knM+9LQi5gQk5Lk0p1N6anuqitsTepsrlpAm2a7/UXPcw3lm7Kmtq5uUDkBKRlCJk8ZWEsNlsrhFVzJiWklr5oJXvG5Me6bdYHaXIXYt+42qFlJqF6iGlC5SqCl5mIhkiMF7fWlKZGolxYsan7XYbrNPxeBxVzWjHY4RXQq7Un7gKpys/45Mm2CFDS83XNsmWLGsseskUUg7ncv8lQsnOojUkoibJY2azmSlcM5U9K0cy1crLN7dsU89PZdR0yNSfY3UpjX6pvlZLmuTPSe2p1iYGQbAlyv++oqpiRJlaXvUdDaYNEF7mVOcPlT9FOORUrl0rE0Pn6lz7MCISeU4mk6M6pfrTCKd019VQgAVP9ccJo2nya47xeHw0EXCjaaofy9VNH9t0E1JeIW3mdxgEwQJly+8+SRYo0/2Gys3vWYJSiSzneaFz1+v1ofzb7VZ9F2twBF+iS7LVru0i+YkGyhpG7zidTg/lazu9Yp8SGWAnVwlyP+MocYtLoWSSiQkXTfrXYAINUo0mX3IIeQFKDWua+oB/zr1vSDLgYYJt+yJSe/DBor2LVtZQW1oNcTKfhPbHzwlFEVEsemrPJ16XdF9J/ilruNVIJAc+f7YsYw3ptem4sia8JtA7UP3LQBIZUaYdTyWEaYomKrTBSLBNcWqeBBZ1AlDe4Tk5bTabTqUcUgdQ2btoF0t9SmLlA4fKyl2yaPDLPbhiBigOMkKFfrdKb0TevEwEq/Rn3VEhhZL+yNUFpMvN6Y+hc7mbVZtYr9dHz8jZk+skCJYnb7jTUGNisPiLxsKHa0GzsBO45Kq575ROJKHN/WLqDOC6+sHSBlxCSpWXG6FibZMiWe6WRARFkBK+/C4NTJvNJrsP1CBC/rs07mm+1W2i641AB6MikKCNz0I+h3cKakwcPMsVQeu0fRkZ+t6ynMAl0VC9b7fboGrC2laprPmSUEPqm1CSFQK1MalipKqkVHcYGm81JEVLPx06bt68aT53EBLsC1/4wmyn5L4t8rXRNHeAtfPnZuKK1XHp5EAhn6nrtexcGnJ9KS3Q2iJkQU+FbFv8LolkU9IsgGuWfcJ6vQ6mUMw1JMnsZ23oNoE6IcQxqbRmualOcgQG572vVoBS3HPPPf7BBx/EaDSKVkhXagLpYsIjjORAicWfk9GErtXuze/Pz+NITSSr1UodQDHC1t7DssSzgEfc5KSdo2tD5zaVoPj1oUES2vQQOCbt1GTI+06JlZzuT5s+cvD34OcRpNpBpgFMjaPVanU4n955Pp9jPB5X6SOaaxsdq52gKCf0NgUq62QywaOPPuos1wxORcCthLyyu4ql1qyWZI3XOk9MOqFEyNw6qj2nFNyQRGTG/2IDmwaONT1cTV2clgovVI420tfFEJvMeB9MLW1py/JSUJrFlARGz6D+JaXB0OaOIdD7k92D1HQAkgSb26drqQdy71PibTCbzYok7UFJsLwx+SxD2yUT2rQadu1TCNg6/2QyuXaeRTIKdYqQVblkAHWVjq6pv2RMgpXvFtp+m2OxWGC23+xRexa/Z01fTy0UWfvOicdCKMvl8ohEY0JN7spEYjKZXCu3lSi5esmSt0JDbMylcmL85E/+JD796U+bJNhB6GCBZzuvJXSzyc4HKbR57xAsCSzW6/WhXlLGDwtCA46rPORmhrnSUAna2ncr1qYrlo2fwCc0baDxqKrQyqYWmkqGVmmtSd13OWZk5F+uWiHmicHrrkZO5UFIsHfddZcnyxxVHulj+WDm0kIfkmYOmpQvJ3u8dl2ugacPS64czG1GY2n1xSVYrhagnTE0xH6TkEaoGpOSpU9JQii1aaTaQ06+OeC7ykqU9MVUm1gnjtDuGLKcJynBAlcdnW/jq2EoxKpZjmt4NZRK0H34Cadmd74TKx+QfBnahScIX1JqYaxSHRUasKmBTH22jZR6gK1vpJa31r7a1kru8vLykJeAPgPP1m3JPmsxj5QaK6ImCZEGI8F+6EMfAvBsZ59Op9c66VCCDYbsHlZSRyVSQ66bV2g7EYmak1UM0+n0Wl3xMkoJLlWvlmV4TdK1kp/lPPlu3NClYTqdXmsfa3moXul8SbD0e8nmolob5RCsFvTBy0EkmyPBDo5gY3iuEmyuWoTqKZbdiaB1QItvYmlUGC3NZ7NZL6sRuVW0hCTZmN6bYzQamaLpasJSf03qmNR0vP/I3R1yn8MJlvqA7GulKit5Hyu55hhpd7vd6akIbt68WS2XQI5jfGnnazP1mtyXqgZi0lWoU1p8HkuQazSQPpxNypQiVwIN8FwjRywT2KmiRmipRmCkCij1JNDABYMUucqdOSz9qmSCHATBEmokfw7dF6ib2i60B3wMOYYBTReVQzDWeuTZjDhSz4nlHUh5hEyn0yNVEEEbzBcXF0dl0+qgZnx5U4+AIW1ASElKdrtd637kcjsXqjNJrpPJpPWVaG1PlJjXQQqDUBGQHyzw7OCM5Uyt1Vm4tEaISY7ab4vFIkqyoftpx/mymzpoKLFyDCWTiIX8+XHNZStETjHSSQVEyGdoGbqGSoB85dD0udJIaEFs4rHYN2ic8b7KA25i45C3CSdZ3sfH+y3ZOUpUT6FVq6Zb5hF2sb5Lv/F35OTqvT8dHaxGsDJMFbhqqJozsbZ00Y6NRqOjlHExaU+SW2jG49fM53O1Y41GI5OqQPpklszgpW43Tdx1+PUhnV4TYipxMi99jhYEwtshN0UfR0mAiUWql21HhmUqp9Z35fgOOW4wAAAgAElEQVTQxqP2nnQdH0d0HifZmgQLPEuypascTWXx+OOP4xvf+MbpEOxLXvIS/4Y3vAFAdwQbIlKtU8XCYQnz+Vy1vqbyAVgU7Ck1BCdYGny5gzlXRaBdV5NgayIknbQFuTLibdykjuT9Q2iiMiGjVugZvD9rkmzO+3EyTSUhSqkPuWDDvRwsYzeEkD44h2CTOljn3C8B+OsAnvLe/8D+2IsAfADAGMAWwI9777/inHMA3gPgDQCeATDz3v+epSCj0chknQ9VdA39bWjgWRqIZ36yDmDreaUWe1qiagOO9NExa3rsvXPfMRV9FnpeTX9MK9GFvChKpOqmYcQl0qsFIdUNJUvnk3aNiKYUYoZji8pLjn3Ko0CwGs+0MOMmsCR7WQF4vTj2DgAf996/EsDH998B4McAvHL/9xCAf1qllAKywrlRRSYOiSUSyUVoKR+D1lA1jTJap5TkMZlMMJ1OMZ1OD5+b1In1uqZSdK3Q3N1uZya6mgYS7ZltS8+yb8WMdjHpjgiWe1RYn1mK2gnhS33Ca3qAJAnWe//rAP5UHH4jgPfuP78XwJQdf5+/wicAjJxz91oKslqtDiRg6YQ8ITdHbN+joVh4J5NJo6ULgWfNJ4QkDTnplHpTpPast/iX1kbJZEH1z/9i7my5bVWDqLvqr7IeCFpOAy5kXF5eNpJsl8vlNQGBZ4gjyGTioXcIfe9z3Je6ab3Ee/8EAHjvn3DOvXh//KUAvsjOe2x/7InYzb785S8fZQlvK5m2JF/Ke7lcLoMSjjZQNN1R6nnA1TLGmv2ntFOUJBgObVsiDR5UR/K9+DP5b5ZBkaNqSJHcbrc7er7UDVqexcm6dAJsK2GNFbzem4wj7k4nwfcaa1pfoS2E+HvUJMkangtWmIxczrkxgI8wHezOez9iv3/Fe//dzrl/DeAfeu9/Y3/84wD+O+/97yr3fAhXagQ45/7Kd33XdwF4dlBQx5BGLgtIQgSelejktbPZ7CiXJtAsgGC5XJpm8+l0es2iylESaEDn0nuMx+Mj0osl8a6RUT6E2EQZmmw0R3E6lrtzgXZ+Kk2epQ3lPlKSvKnuc7aCkdAIJUbcod+0+tdUSASqM0muoXqWOx+kEPKLlvUek0BziDzkoWDxPAi1340bN3Dr1q1WE24/SUv//f+n9scfA3AfO+9lAB7XbuC9f9h7/4D3/oHnPe+4GE2lV+oYucuXJtFZ1lmwjaxRi8XCTK5yOd1VLlcLUmVpWneadK/p21L9T7uG6r/GFiU1pbVYnfGE3tK+ENuB13p/K1JhxiEVRi5I/cB3bMhFLkeUqgg+DODNAN61//+r7PjbnHPvB/CDAP6MVAlW1GiwPpZoJYr+2D5kRJpNli+z2azR9aGlf+rcoUB6lsjtl0PIMY7w+9XIDVBCrloEFXCdFPlvsfai5b918m0ivWpla4pQUIYmCWu+wCGUCGBJCdY59ysAfhPAq5xzjznn3oIrYv1R59wfAvjR/XcA+CiAPwZwC8AvAPi72SWqgFTHKI0C6gJypiZDgGYQkKDOtF6vD25joWtSk5AcgLEBGfotd9LRIuvoe+mkSYZQrtu2kFiJNXmIkwwlVIkZr/gkHNqhAWgWQZm6tpYnQqxttQxqbSMpwXrvfyLw048o53oAb21SoPF4XM3njvvv0QClQcBzlXaJtqTr+Xx+kCTkO5POUAZS5OhfcwcAkbxmQCzRJQJx/V0owkgGrkhsNhuVSGUyEA25/afL/kZeOTUxHo+DdoqYnrQrcrWA52VYr9dRwpWBIvTeTz75pPl5g0j2cvfdd+Ob3/zmtePr9bp4iZsKPJChqsCxLrMEmlFHEgY1lqbnsyxBQmqF+XyuGnAIoeMhQuOEpUmUKWLm71JrUgmRYewZoT7QJINSKDKsTXcgax2SJ0Xs3ax9PPRM2f80gyzVL+1GmwutfUqCXygyTVtd5CZEKsEgCBa4IicalDSIZEOGyCoEjVTkjglagpUmsDRGW/lkrTrGXGy320NHldssA9eTZDeN/66BGBkTaEDyclr8J7XjVv/tEuQO8JjblFXtoe38kIs2cj6UPIvvNGE5P/f+MQxm2256gRz1QN/+hhJ9Egp3TauN3W6HzWZz6KiTyeSatL1cLg9tSFmL+qyPUtSM/KuB3D7ODU5dvEPNvMUcbapTmq44bt++bT53EAT71FNPHUl12+02K7RRi8ohC2FKYV8rcXZTMrHotULncqfvWqA24O3ASZbKMZlMrg2y0Wh0kuSawmazOfxxtCm9plCDiHh/mkwmR3vjxdAWuZYgx4WraQh3DgajIuAgXQt3Og9FGwF1siW1tUNBCjzrj0x+cioYj8edZMXqAzGddmy5Xdu/2KozbhoJaLWyD4lcOUIRe6G6i2WDqzEGByHBaihxhq8R35+7RJzP58UNIXXMKambY7lcYrVatRrmp2GoA8sCcveyLrvbziBlQVfqihwBoyTKkHbo0K6V47uvSbqNeh6kBEtIvbCUamlAWBuodAsZjdRiEjaHNHBZjDExXFxcHKSOGuRHZcmVwKjuN5tN69uTEGhCSm1VDeieECmMx+Ng/6BndvWuueCSnJU4lsslptNpVOVU0scs1/DxE5MqSzAajY62jaJjsXqpRbaDSLjtnDMVglurc9xQtHNpMMoBVBL3zA10oY7JCYtIVhL1xcVF9mwe8+GU/rD0nZNCSN+tLTXpGB8wl5eXprBK0l1qS1BJjPQ9tFxNLeVCdVZjsBKh89VSzs4YqXvHzo99p88xDxVLmCgRbMhTIgex58jtugl84rO0c0g1pXmI8OtjARUpfO5zn8MzzzxzOrvKWkF6KJlM13odISadSZcjLuWGOhgZBfig443H9zECwnkL5Hla2Uuw3W4P5ZHvkPJplZIQ39coB6GkzbvdLiopcoRUIjJijW8JrhGO3I9psVgcBmLMuCP32GorvDMXXS2pteeUlpukZcuzpKBgeXasTpqQay5OimCBvI4tG5DvOpBaInDpyRqJwsuWun+OQj209E1FIFlBPo9yhgdwLcwUwMFx2+opsNvp+Wf58zR1TSmJUaq7tgkwNDHVzCeQusYC7l5H5bNIfxJt7frMEZvsS3+TKNWtl7iFnhTBWjtgjsU1pIe1bMtN58RCKXe73bUIK61ssWWtRcfIyyqjViwDPnSOTMtHdbVer3F5eZkdfx/SVYck2KaSooyuo/JSGSRh8PcpTTwUC1CoEWGVg1D7DMFLpa28zymU2j2IxLWo0xBOimAJltnK0slDy2a+DA3FXoeW+VqGnt1ud031YEHpgIu56mhSCCcSXj4LwaT0r6ORba+1prDm8pWqCu0duW6VTwZaFBvHEAIU+MqrZIKI6b1TO8jmvDuVjZ7H89Dmgmf+kpM3qd36Cko6SYIthWUQEnHK/d95ZyWJ9OLi4og8NAul7HRNGloSrtwvKUaOVLYmJMDfKyfRddO8BPTeMWmZ2sLix6kZEzm4ntkyOfSRU9dSj+v1+tquAzXd7CSplag5aoPXC++jVFYqVyg/QW2cJMGGttYG7Mth3gFko2juIlpjcBKWekYe/0yhppTgWN5L6/RaB7USiMRkMjHFalueQe8TUq2QIYzfw1Lm+Xx+5IURKnNoeUdEyHcTKFkGcrKgcvUVhFICKRESRqPRkapK7uZBuLy8DNofUmqu2HGJkPE4JBhYYCFMPgmEpN6aOCk3LZ5mjCPVqLwC6drSlHkS6/0e8jIKS2tsenZM+pPbv/DrZPmkS0vMbagGYoEcmuSSq3Pk5Km55Gh+zhZfaQ65tY/2HI2Y5XmlK4Gmkl1M5ZLaokb2yZzIsJxyAPWSKMUINrY3XOgcKo9WptS4J5XR008/jW9961t3nptWU/DKDhlbcslVXjsaHcfhaw1MvobWJQq32PO8rxpq6ABjq4EQadZYEsYkTh5QQERS8q408EMDN1WGttFkia31XV5mnv6TpHKZNze1Q3Fp6kFC7nt14blAsAYL5eA5RbA1EZOiLS5MvPPmSuSW3WlD9ybk6p9yJFPtGiu4Z0ZsNwbr+5Ofr3WQkt6Sq21CE00NdG0UI8s9qT5Se3bJBO0c8/n8UK+8P8XCt0vINuSHbslLHCpD6Nmh+5US70mpCAB9K2FtINIA0dQDQHyZUJIJimf1slzPfRIlQo0vjVkhL4hc6zEfHPzZ3A2rzegoLQhDDkQtGbol3y/B6jPMNwIkaOqAJobC0H2sk5Y8LzQRUV1oQR6r1Uq9Th6LESyhNOScg4jNkkBH9nc6rgkN9FvOrhoh0DU5KoLBJnsJ4fLy0tS5Q4klOLT7lKbZyzGyxZ4fG2QU6hhDSUcnqS2UeDpWphoSGN0jtleaxfqdUs1Y0Ca5tgWt/ThC0n4qUZBVOqy5U3IodJsfo33W5HPl+6d25dBsGSGUSrAnryLIsfDSTKstd6kCu3K5ifnpAuWSYQ1pghCKFy9FbGmmqQQkAUj9IZfMYoTKiduy11aMQGuHtJa2cy13K16n8/m8k/4/nU5VKbykbi8vL4+k3tAKBtA3z5Qkq71/E73syakICPTSlo62Wq2C/nHAs4OmdJsM6cic0g9KV6DYfTm0bbh5EANw/G4XFxeHHAlyWZWShGWoaVcTT6xO5vP54XdOxrI9F4vF4feUlMbvo50rvUNyUNsXlN+PlzuUI4CObzabg/scYIugCq2uct+Ju7sRQjk3eJkkqaX6n2WvNgtRWvr5ZDLBo48+evYiINSwDFpVADm6yhoJQ2LXax2ZoA0y7qLUB7nGEHILSmWHSqHrfLpdQdYJ/15Crvw3a31rE4ImWXIVEZUt16LPM8jNZrNrGeUsaKOfnyzBxirDkkeAQ4a30rHY76H7AMediCTIECwdNtZJQtbx0O6zFnBpoGty1eojVj+hgIIaxDk0XSvHfD43hyBL6VCDDAYpCa6wEC+tEGnlGVsxlrhNhbK2AcfG4a4m1pMlWA0hnZ3FRYeTYyhSLOXeoQ107XxpgOPlTvkhpgY9T8BN54ciqbjEQJNCn+RKyJGSUioier/1ep2VE2Hohi1AJycpIdI5MbWA1j9iEWy5k6AG3m6xdmnaB+UYovppIoDk4OQJljpHrIFznJVDpGbpQJblCLkccfBtNUI5DABbXPx6vS4Kp5Xoi1xLBq5sW4oIk/Vg0T1qbklDJFcgHdYsCdiScEheI42CXFWWMwkOZash3paSZEv9amM4WSOXRKyxSSobj8dHmwz2ActzY6kD+QCQg4sPHKnW0AbiEKVXTdddokPnBCstyyGCiU2QJf2lZh8L3Ws8HmcHjZBRMKeOY9sxpYxfvL5jfZZ+530vlqegKeidpHEtZei+Y41codhjOh6SUjebDS4vL3vJPRlDqWSUklBzBnbMObsP1JQWZX+h79r71SbXLsHfU+r/teMEq20BiGcga2Ks1VYVIUnSSrY5uSqoDCRc0Fb0pX7UEoOQYF/1qlf5z3/+88nz6KVLibL2DCiR08lKiETuBSWR2l+MIyT1DJVMSowds9ks6nxOkOTKB3iT+mjTTYug1YsUPPgx4Ho/ySln7uQ7Gj2bpD0kGGgSbihqywoKWGg6YWsJci4uLvCFL3zhzpNgp9NpJzkchwoigpysQcBwdYgWlKoHNFjIQTqen2LdpXKdlgSjTKfTQ73m6PhjRlZ+jva8JtCCCkqjHOWq4MaNG+brB0Gwjz/+uDrrnqEjt464f+spoYRcF4vFtYEUI9ZTJFCOkCvTer0+IinrstlCbLTpqLXuct2t2uqrpfpcOd5u375tvnYQKoKbN2/6Bx54AECcPEJ5LS1om7hzl4M5GaFqwNpph6IiKCVXwD54rARRK7FLU4Tux5fYbfcpMrRqhrIUtDbVEhXlZD+rgVzJdrFYmFUEg0j28vWvfx2bzcbcOUgPaf1rg1xrRIedolTZJeTgtSxN29azDxGbzeawI0QXzypFKJGLhi7bcTqdHv40aLuQWDEIgh0qQskhpJ6uCVFqz2gDm83m8KzcZ/axjJZJtUPkStmucqNzYu8kiaBJDH4XIAm2by8ZTbjREDI+kfTKv2tZs9qEJNumkvQgdLB9QhqCNOIJkRHXbVoIK5RAY7fbdZ7NCzgOK5SDgb8PL1OMmNry+5SRaan8C6kJLzVhlE54Q1GvAHFiaEpY/Hru6qW1DZ/05AQgQ3hjfT+UdJtDu75kciRoW7rnroZPkmBrSVQy38BY7K0VO78W5PPaiCbREHuXEoLJSXIDNGtDPpD5AOfZo7pWv/RJrrw+KLqrjVVHLQk5pupJ5UDI3RSxDV3uk08+aT43SbDOuV8C8NcBPOW9/4H9sQWAvw3gT/an/Zz3/qP7334WwFsA3Abw9733H7MWprRTpNxSLKixTG+abLvps2kAWJfKlj2X2iL7mJO7JCsZ0mgJp+2DZIeErrxxUv2YCN9KzloOhJjQIdNzDg0WHewKwOuV4//Ie3+x/yNyfTWANwH4S/tr/olzzu40ZoSm54kZuTSM2RYvFukjlRGrFhGVJKCQS62cLGL8fylSdRO7ztJetF2MlschBqoHqXPuyrp/as/IhVVIiIXKaqAxoNk7YiBDeZfeOSkkJVjv/a8758bG+70RwPu9998A8AXn3C0ArwXwm8UlbIgclx0r4fAon1RCZuvAkBm1cohWkw5C95DJZHj5SqTXJrkVcu7BEcv0JLFcLtVzc8JEYxgi8XWBkr6ukWvIN5Xap7R+iWQpSTv17RqJkHLQRAf7NufcTwN4BMDbvfdfAfBSAJ9g5zy2P3YNzrmHADy0/2x+aC2dCidJakyNdGIEahmgoU7SdaLn6XSqlldumRNDLGduE5Rsk5NDsvP5XK1vanc+6GJLWdkvhkquqSxbKYQivUrsE6PRKJlXIPXcpuDlzpWmm8IUaLCXYD/CdLAvAfAlAB7A/wTgXu/9f+mc+8cAftN7/7/vz/tFAB/13n8ocX9TtAM1ouacHCLepg1WYxBp+02loBGC3MOeELq3lg+Xvw9fSlnCS0tIhXdui2EtRrYhkoypDbgukq6XOsHc7XT6gKXeY3kJYuB1FCOg0IpGGotTbR6rX4oQKxm3llzJErx8FuGN7D2tZtPy3h/MaM65XwDwkf3XxwDcx059GYDHS54RwmQyOapI6hxNiNTSKUpg0RfyRueEt1wujzo4l0DJXYTeWZZXI84m71TLIBeqY6t+dLlcZucVlSHYtGSMPSc3FHQo0CZAbgCWG35qiEl1IVfCnL6VEjQmk8mh7kt9j0PtljJ8clcw+exSfikKNHDO3cu+/g0An9p//jCANznnXuCcux/AKwH8dlHJFIReki/vS9BG9voYEVxcXBz+5HFCTMIC4g0u752bno9jaJn9tXq1bunN65HqKCTh0W+nllxIax/a0rsNlUZMtSTLYl3FNfWAaOL7CtSNIrO4af0KgAmAe5xzjwH4HwBMnHMXuFIRbAH8HQDw3n/aOfdBAJ8B8C0Ab/Xe2zMjGMB1b+v1+pqOtLZe0ArtuVrns5SPyDW0ZIm5LHHkSK85dVeznktzDsR2hYhBRoiFwFc1p5aIqG/9cEqStCDlk55TjlBdxIQMKcnn7IrCYfEi+Anl8C9Gzn8ngHdmlyQDRDAhRXwfnatvyS4HWnBDF8+Rv/Xlt7jdbo9IQOsv2rGQDrwLWPp16ZYubYH3q5JNFNsAr5fYBomha4G8bFonGclFIIlC60hyaUeSC18u54SndrlUJB1gCqkBRHrcUiJLEWSfA7jmPk+579In0T7XEBp3OauJWPtSEvu2Vid3bLIXXmEhAs0JDhjK8jDHvStksNAiobQOmJLKU7rvmGRcQ3rNIdiYPjXmYhTaYXg0Gh0lBollY+oSp7SSSqGmUMOTAslxv9vtTPp20mU//fTT5ucOXoItlZK43ixGpCUka2l48v/LXX5bpSJLvWy3W5VkSw1cGkK6sprSbcx1yyrJkucF18FOJhOVREN7eY1Gx4nLp9PpNTtAW5v0ldRnW6uMtrO/LZfLTr04eB3FxnaJkDV4gu17KZpCSH+3WCwwn8+vEXhMckuRfW5wQhNHakueAgtKIqbo2dbnEcnGonW0wUHHqI9ZQ56laon6wHq9vkbAIXSlXpDjR3OxGuL4osmwJpnz9ghtRx7DHZtNK3eA8lmo5g6RElbjCAc5ucuOk6tT4ikOhwZuaKEy1ogPt5D1ZrOJGlRCRiBtk8OYP+Vms1HbbLPZHAg+9s5Sjyv7TRO/bPluu93u8LymQRS8bmOh2Pz5TQxc2oTQVb/XjGCTyQQ3b9403+MkCJagGRe4RTDUEXN0OVoUiexIUgoNST0yHwB1NBqAfIAuFovsjliSYEYb9LUzT9XYkVUDSVvaey8WiywS1/TQGnJyVEhYJDAp5UrDbY1lckiS7srjICesOQSaXGV9lrpPpTwIaDyEAoGsOCmCJWgVWquDjEajAwFafVtjWC6XRwOUDxhJ/PP5vMrsnJMeTqJpZjAuwfB3yXWJaVIP0lcauKrrkoEo+8B4PE4u7y8vLzEej4sGp1xxtUl8GrHmJhqSaKO8bdVBrE/WEjpOimCHoI9NVXwooQoRRmwpGAPv9BbdahtqEUm8NZzBNVxcXESX50BZFq/Ly8vo5GmFlp80FPpLoD5D5Y9l6G+i1rKqqEJIkStNXrkknJuch0Ak2IfPdA211iB2lX3Vq17lH374YfU3bXnfN8mGkBMJBRwPxJjExjtcSgqT+QxivxOo83JCSkmxMbcubTDI51oHTE4GJ6mO4cEM3KPCGk0n+56mVgiVT3occMS8HrT25WSr9ZMcwYPqiOdcbYoSwSdGtrwd2/Y/5/3S+g4PPvggPvnJT57OrrISPL3cUPxPLeC+dhbJjnKVpjo574yh+qiZaLhEOtQmDQKPnAqhNNE4B9UTT7TNSX+z2Zh8gEnCI7/HGGK621p9l0gmREqW9pIpG0N5cnNB9duWS9UpjX8Ng1YR0LKixpYwfcCa57SGEcAKqXfSpCwu+cVIm7s3EeS75uhzQ9uF5NxPq8ftdmuWmLXlc6r9YpIsJwhLH9ZyuXKdrzYRpdJVDhFUNku/z/E/t0L267ZWxYMjWNkpuCR7iiQL1J3dY9mfOEiitRKLtNATeeYap9qGJFxr3VJdSDIMJWMmxFQy1gmUwMk2JJmFEqOXGC1TutKmk3qo7pum/gyVW6uDlD2CT07Ull3250EQ7Be/+EWTch0Yrv61BNPp1LznkBa0EAOl45MkmyIk7kQfIpAYscjBxQ1CIUlPtn0OcfF7plYCuV4EoedLciyZ+HOumUwmxV4hVB85EmMpcgWJGpJ3zg4F5N3RJQZBsF//+tcPswonA1kZbcw8IQW9Nsi1mdlihJFZjjisDc6JykJAmh+fvC7k2UDH+PlNpJLSTi112aH78PJIkrUOeklg2juGpM7Q6spi7OsKQ8lmRWijPJJs6XufATmDIFgO6oCxPXtSUS9WCSt2LPWbZeCGpJTSMEnK9p5TBonQ+2sTCdWl9TnWnQk4tECMkKQbs9jP5/Og4U07P6Ya4GW3Gln4jgkhjEajYjVX1yRRahewRNul7ht6tuYeFwK1ad/JbwbhpiX35Eot5awENYTsRn3h8vLyMJhDkWchfWaJoSo3bJhcleiZTSQaeS+CvCd3jyqxyNdKj1iKEMnKAJVcd0F5L45akmbOsr+mdKtlzpKgpD9W5LhpDU6Cjb2oRqxDisfXFOocWi7a0JKRzp1Op+p1KcTOCyX4KNVvaysKkmSsqwgOTV2UQq6kopV5aMtoDSEpnfeRHMOmvCdJj5Yw35DaSx7fbrdmiZgTcWlEYQ4ntJ3sZnAEa8GQDF2cIHnDptxAUro4ScBEWLFAAXlf0g12GQljXaaHkKujtEqV/Lw+JmXL0jkFTjg17sfvxUE+s9KwGupDofEoo+5C26dL4m0Sqk3XhwIyCF1xyMkQbCzrUB+Em7uJnKWcJe/CO02MnLgE0UV9Wd8lZERsC32ojUK5KJqA6re22oJItIaDP03uHF2tEmrWdROcDMHGoC1Ruogs4SRiWcZr51snDDquxeJrg0Heg7ahyR2QVmkit74phyvXn3Y1ILr27W3rvYZAILVhCXCx3kNzE+wadwTBcpQmymgyY0sSChmRmoCTKxCXEEs70mKxOPgSSveopp4WWpkWi0WQwC0qjVz1wJ1o9OwyCrAEKcIMtXOpi5u8rm914skQLLlohXxR+eCJbbOsucloMeolsLifcFgNTbWMT9PpFKvVKmtAtqWvDJFyyfNS3gNDRJvhrX1ln4qhRnkuLi6SqRzp3WOErm0R1FaU6CCTvVjBl5WlvqVNl4okgXUxqGUnLVkizmaz6DsTwXU1QEMuYRaVgZRgayUw6RMl5ddIeUjhzW0h1D9i7x76ra2kMoOTYJvolXh285BRTKJ0Oc+XtqUO2QQZG9+36xkn2Rp6vraWabn65C4Mok0z4NfEECXZJmi7PkmSnc1m11RXpQQ8OIJtipQkG1oO5G6wZs1nKWPBc3XEkhD4EsfilZADrhPtm+QJtUmRXN3aINoaBppSUP7aobRbW2jTgE0TtlaHpbadO45gOVKDSJJxKbnE9Gb0G09qreUk1TpNDRIYQhayHJK0JJTWJNfYhEf7dXVh8LCSa+0dU2vfNzdTWBeQ+tOaZZN9qlY93tEEmwtuNKu1VOfkttvZ9ruic9pc3qWWj5Yk2bVheV5Tv89c/2WJmlKqDBzg6SJrYbPZZE2wodDSEo8Vq5E59RwufLSRQKctcgUGSLC1BnXT+8jOLitcLv1D9yhpfO6YTghFcWkgcpTkHosmCyXeroWmbmWhUNZQGbmPbexZbfrEhvSxoe2um9Q33X8ymbQiHecSac65MheAXHWl+ockbS3JeayM1E9ik/dZB2tEzmzOl+5ap53NZo0GhTUm33Iuhxa8ICUTLUH3qRlEQoli5ECJ5VLNJdccC7XmMsklrmUAABftSURBVNRmAuxcaVWiRHpuw/reVKWlkapFh7per03htDdu3DCX5Y4k2CbSK084ze9FJDUej027uubAGlJaKz0hcDUYx+PxtWfnpIQ7Iw0i1zaJVd6LcghYpdgu27svI2qKXImUeblq2EUGR7Chl8rJ6G7Vk8ktjFMZqIhkQ8vPXLSt47QQMtd9tT3QUtm1atUHtc1QDDQ5+2j1AW1SbcsA1xWIUJtI2FKoKelPgyNYoNnASC0vNImNwNPspVCDZKXPriyT1AHX1hVyKaevpDltY0hERshN22e9pgmG4t7Vt9cL1/XXEKIGSbBNkAqVS0GTpojcOPlOJpNGDWCJi4+lP7SgLVeg2igh9tAkSKuX7XbbO7mWSq78HJpkc3IOyE0DJWmFdrAArudytRiYauph+3YpBJ5ttxrpDe84ggXyyIiTkEX/OBqNDoPYYqHM1WlqhKi9j7XB7xR9amyfLa7mofNOYWKxoPQ9YhndUpCRhYRQn4uRonSxkqu1IRBqm0gSrHPuPgDvA/AXAHwbwMPe+/c4514E4AMAxgC2AH7ce/8V55wD8B4AbwDwDICZ9/732il+PmjfeT4oQ4p3/p1LxZvNxtRRiVy1c6VOmQxOoSzxHDFyzVXM8/LtdrtWPQnacMHjRkdZ9tS21W1Bk0CBq7LW2ko7RnzaPSxLb809UD6rKabTaSeqKIvwk4NSFVpyTy7n3L0A7vXe/55z7iaA3wUwBTAD8Kfe+3c5594B4Lu99z/jnHsDgL+HK4L9QQDv8d7/YOIZR4UIWeklKdF5/HjKUTkGLp1qkJJk6r45qorxeHyN4LXMQaGlW6osIYW9TEtIOTTbQNOsYKSSoTolwiJYJoc2CDdFirVUNTHvFaqjWFmIdO5UfXsIVg+CFKjOJpMJHn300Tp7cnnvnwDwxP7z0865zwJ4KYA3AqCSvRfAGsDP7I+/z18x9yeccyPn3L37+wweOeqFmLSZKwm2nTy56VYuQ8BisTgMBjlhWOu7D71sV+qKvnXOQ0VMT7xYLFrLpAVk6mCdc2MAfxnAbwF4CZGm9/4J59yL96e9FMAX2WWP7Y8dEaxz7iEADxWVeg/NdSs2O0sJICX5loISVFvvmfvsUM7YEGkOZfuMGqDBQLltn0uI5azIIdchSK/Ujn3pYLsKrDETrHPuOwF8CMDce//VK1Wrfqpy7Joewnv/MICH9/c+/G5VD8Qgl+ahe9Lx0lyyBN7xm1r+gfiSJjY4tAGYM5jo3KF5H4QmqxrZ/EllwO8TUiMMTUIcAlHmYrlcHsbycrns1S1rtVq13s9NBOuc+w5ckes/997/y/3hJ2npv9fTPrU//hiA+9jlLwPweOz+d999Nx588MG8kgcgrfZdbRNiJbec8FiO0HvIyYGXo8kAHBrJykmnabtKEiWy7sMoZgGV6xRJdYjgfuXS6F0TFi8CB+AXAXzWe//z7KcPA3gzgHft//8qO/4259z7cWXk+rOm+lfry0tCsA5CK3nFwCO9+DHtPEBPrE1JWvh1JbO7xRNBQlNr8CCEIakYJpPJUduElnpy5cLrW2ubxWIRnSQtfs/ynJD0XXM32NFolBX4wsPAS1Y8oXNS91oul7i4uAiuBCyG2hLU9CQAgNu3b5uvsUiwrwPwUwD+wDlH4tXP4YpYP+icewuA/wfA39r/9lFceRDcwpWb1n9hLk1DdJliT3uOlJ5jOtEa0mFsAsjVu2632yOiksTeVI/btF1yJpqQSqjEJzjkE0qQbW6VhrRMbdJdMFZeXp90Hn9vrQzr9fqojbX3ifVZ+j11jnwmXReyTWjvGVr9xZ6RA+k+SXv+1YbFi+A3oOtVAeBHlPM9gLc2LNcBTUR32SCWbWS4/1xb/oA5BjCLPrZN6XIIkqu1rmon4bFAIwcqx2KxiKaIDN3DMhGk2iVE9KXtmRugABy/K5+gef+PBURo0WbWnMopyA0UgeOVbC2yTfrBdgFp5GpCqrxRakuzlqiWplFbpdDKpkXOxEDSTcq6WjJIm7SFJE75ThcXF2p4Y9/gS3Zqa77dT001gQbNu6BLvfrl5WW0L6WSK3Fo7dqUaFNGy9DYefDBB/HJT36yjh9s1+jD9SaWWLtNNLH4A+nUbyXkakGu5FxCrqXSaCjGvhSW+1nUJ2Q0zNFxWsqf875SBz2kyYjD2l+4KoW/W63w8Ol0enSvEq+gwRFs37Baz2uk+ZMZ70uNSdo2H134+HWhorDAWv9tlJeHl1pINvfecmXSpOwye1ouuiDlkslYC3FvQrKhTUVpTD399NPmez3nCVaz+ue4OdWaLTkh5irttZDckkz9sY0ZS9DkHrGVjNUnNuaYD1xftjeFfF7Msl8ahBJzw2vTwJszkRBqTvI5z61BrkCdcTAIgh2NRo2djXNJyUKiskGtZZRbTxBkInA5sC8uLjAajYp8PDWpO1SOUHn4sRwMxTdTGxCxssmBSIM4dE3pe4a8ArjfbUlASC62221n2dVSknKODUPmy5DXW8a+9b1T/f/y8jLLZ38QBCtREsbWNNw0tyNY788jvLTPHE33VAqVQaKp7ndoaLpsrWkYHY1GR8EKklxjvtFdIbQZI0fouKYbD3lGxNzNLi4ukjYEfi86T7oTAleCTxdRWSWeBYMg2GeeeSa5xJXSlqWT5KBmJ7dEU4XUEal3SQ1Q7s6iPYeXj+uampCUxbuiK9QqS+parb6Wy+URmfAB2YcLmYQmtMhjKSMzpfuU9wiRbKhfaeM4hZifO3kf5ZBs7WThGgZBsPfddx/e/e53A6i/VQbv5NrSOyc0cjabJWcxTmwp0ioltRLikH6IOeXIKadVf10jnFeiRm4CwB7NxOsl9VwiLklOOe/Pyc9K2E1XdhouLy+vjaVSgWez2WCz2RzupyWBofderVbJe+eqQDjJlpB+CoPwg33FK17hiWD7hJb4oxQ1JRZuYLASV4wUQ0s2/l+7Zy4sapjSycJyDk8sItE0tyq/h5RcgfBykj+XJwsn9J0hLHcZrAkto9HoKIKrVllWq1W07Uvrbr1eB1fMWplO2g+2b7SZManJ4JnNZlk+lKQLlJ1yvV5f04215dLVp/vWbreL1ncoeTtda6nr1WplfsdQXoS+CbUppDRL9UaSYan6SdZ/qJ5qrIBC9hACHx/T6RS3bt0y3/s5T7DUQDQAakqxNbFarY5cfkLuP/y41imlEU16NHThPztElBAd6bG1QT6dToP6wL711F1De9+QMZekVq4WiN0nNZFylEaJNskd+5wmWN5gIR1ZCWhG1+7fBJoFVUL6XloH83OVWDVIX0ggbayUCCVVoVXFcwElHjE5RqfcetTOt6pESkl28ASbqoCYz2jo2pSfKUmv8nqLf2qb1uL5fG7qtDxg4E6DRmht5vOMTVDcbSjmSxybaDWDURugvtxVfuRSkHpGy6MgUaPdcwyjJx8qKyvMMruUdBzq1BoBkfSnPburwaDBupNtzGuCBnrIWND30jUVyhrz6w21S+4kE6sXyiXA72lNkKOB2irVr2qm0eu6D8tE5ikyy+2DVpLVNkglFc58Pm8t0fogCHa73TaW/Gp1nFQD8+dIco+9Q9PZlgZ1zntyMphOp4fll8XdTD63S3CibUr6sq1Ky8I/W8qUW2+hdm0jR2kb9wT626025ImhjUd+rG0fWGAgBHvKCJGdFq0VI2DqFBQ2HJtR5WBMJd4G0p2pJA9DDfAlYahMMcznc5PvY4q8+LNqRNOlrOdam8m6b4sIayP2niSxkhRb6tyfE+WYK6y1uU3QyRMsbzCrukBrqBxioXMnk8m1Wdviqyoxm82OOp2lwZsMPu3a5XJ5ZBzrUnJtk8x5vcp2l87tfUKW7VTINQekw4yRLI2nWgl4+sagCDZkXAohNKNxAgwhRaihLSQs5ExElSLKtsMnLfU4nU4PRJOzr1NNlC4tcyWP9Xod1K0D4YlZtlNutBo9YzqdHnZSjeHUyNXq62rdQXa3u75fnVXHPbTAjUERbC6sDaZ1AGk91M6x7NPDr7OS0+XlZXWpqYkzd5/GuyagZafFhYbqW2tnqUbhfUpKUvxaa2QaN2al0LehsRQ55bb0/VJilP1Yy50AXLUFj9hrS03wvFbu2jFoQJA0lsqOxCszlRykFvGQ6qCtARS7N382/Q1hWVwLocG4Xq8PfxyyLlKouR2NJhDQMSoLX1XcaViv15jNZri4uDj6qwGKrON/dNxC2No4yTFsahiUBMs7WGy2l51Pc9ORFcK/04xFUmwJyZZul7JarVolNy6h1com1aY+tkkZ+URJn2sQE18ZhTJFpcDVRNSfp9NptP2lqqStnU67AEmNm80G4/H48B6h+iyt5xyQNKv5k8vMZzwMWubszdnRYLASbGigkGGpCWKDOoc4S8ihC8nR6jnAO5V1+dqWJF7SpjKZS5tS32KxwHK5PPylzpWgsvHBPZlMkiquO0GapWCMlKTKf7faJ4j8rCqF1Wplkpi1TGnU9vfdd5/pWcBAsmnddddd/ubNmwCOKyqkK6OZvknuT96A2lYjpfeS4M79QDcES/XCrbYSGqHWJM8SCT/3uW2pW7T6kq5gFMW1WCyOVgySXDXdXoygY+80VGmWTwDkY80l2BwQ+WmEqa0GS3NoyH7Ov6f67mKxwBe+8AVTNq3BEay2TIqhVqeLLau5kz9Hapbl53dJrITRaJRVP7Wl01I1SugYByeulESpJV3JGZCz2SxowCz1gOjbmFVr3MTuw/WgVsQIlhALPbZC061aIwlzCHZQOtg+Y+ctHb7Uraorg1IN/at0/L8T8xkAOOhDCbH6qr2PVd/kCtTR78au70rajrllxcarXOXxY6lrbt++bS7fIAj29u3bd+xA7tNar0UqcctqqAPKWZ0MFV0iJRnmpJPU9n6S19MeUjKkOSbphrbnOQV0tYVNyoVOS5KTmtBk3+DcwVe8uarElKtWSQrTQRCshJVsu9ZJ5SwH+9CXSR9NKi/tVishl1fUwUL7K3FYCFeLctPux8vdJpFLos0JZZYkqvXRVL8dCgHPZrNGAk3ue+ToYVerlTkYwQLr9kgWP9gSX9lBEixhCBvFSYRmz5wQW+v5ta/vA0MsJ7WhplfVdHp8S5G+EprUBL2jxb5hcVGU9VEqXNwp4bEcgyZYDXIA9NHZQ9ILj4yynA8015XGwLeGCS3TyBc4loG/FE3vZyWzlM+udg/K4JZyQpeDnhtHcqXAoZFzTjpQeaxpCGqoHrpWFbaZSxgYiBeBddPD0IzbdqeVMeUhyHLU2PgtBYsxiruyhMoot0Xnx7TIr6bkGdKz8fuG1AhEbjICqglS+WT5XmZWpMh+SGRrQWqH5tj7yP4VI9iuAyxKsqd570/PiyAFrdJLnbC15XYsl0Cu+9KQrPA5Dt5WkFGoNkLEK+teGxSnEPnEpdicvjEkMm4S+BCL2BqPx63mBegDg43ksmK1Wh1Z93gcMmWHImdwIlBJpKksUk2W8W2jZJnKkSLXlPsSJ0T6Lo/XQuzeNOi7inpqI5othiFM1EC8fq1ltEzobfQfDW17x5yUBAuEGzHlQkF6luVyec14lsqCRffOsRIPZUBo2O12qgFRkxwsesPQYNDco04Vk8mks0HfJ9rYu0trf6kKuhP6iIaTI9hYpFWt++Veq+Wv7BJtk3mT+zetFy7tDGnn2yFPoDVQM4XlaDSKTrby2Hg87mw8tb0KSRKsc+4+AO8D8BcAfBvAw9779zjnFgD+NoA/2Z/6c977j+6v+VkAbwFwG8Df995/rIWyH9CHfupUjBU5sdo5+q+QMaoWSmLLgfLQSR4/T4iRaA096pD7jYR1g0YJ2Y68r4RIVJNoS7easaBN7w6LDvZbAN7uvf+LAH4IwFudc6/e//aPvPcX+z8i11cDeBOAvwTg9QD+iXPuRgtlL0ZoP6RQ7HSKdGTjDNF/t02Mx2OVEEulkCFJqhqaDsau9bc50HTZcrzkGhJTKqTc32qB97O2ViRJCdZ7/wSAJ/afn3bOfRbASyOXvBHA+7333wDwBefcLQCvBfCbFcpbDaFOEiLH+XyelI74tbPZ7Ggn1xob6TWBDFnUkqXwY1bjF5/9+TWbzeYgieT4jFrDKuW5dP8mngSr1SoonZGblpaIKESWXLc/ZFKVkHXQpE5T7c6JVEb6bbdbU0rHthAqe055snSwzrkxgL8M4LcAvA7A25xzPw3gEVxJuV/BFfl+gl32GOKEfNIgUk0NHuv2Nm0ilOj48vKyeAa3GMAuLi7uCEOGFrEUWy5zgu17b6im4EnDrag1ofSxV1wtidbspuWc+04AHwIw995/FcA/BfByABe4knApUkBzwL0WzeCce8g594hz7pGvfvWr2QXvGnKAzGazk1AFWDpK2wYbSezPBWv8nYhTT/ydgkzeUwOmSC7n3HcA+AiAj3nvf175fQzgI977H9gbuOC9/4f73z4GYOG9D6oInHN/AuD/BfClgnfoA/fgXNY2cC5rOziXtS7+A+/991hOtHgROAC/COCznFydc/fu9bMA8DcAfGr/+cMAftk59/MAvhfAKwH8duwZ3vvvcc494r1/wFLovnEuazs4l7UdnMvaHyw62NcB+CkAf+Cco7XezwH4CefcBa6W/1sAfwcAvPefds59EMBncOWB8FbvvT1D7RlnnHHGHQKLF8FvQNerfjRyzTsBvLNBuc4444wzTh5DykXwcN8FyMC5rO3gXNZ2cC5rTxhEusIzzjjjjDsRQ5JgzzjjjDPuKPROsM651zvnPuecu+Wce0ff5ZFwzm2dc3/gnNs45x7ZH3uRc+7fOuf+cP//u3ss3y85555yzn2KHVPL567wv+7r+pPOudcMoKwL59y/39fvxjn3Bvbbz+7L+jnn3F/ruKz3Oef+nXPus865Tzvn/pv98cHVbaSsg6tb59yfc879tnPu9/dl/R/3x+93zv3Wvl4/4Jx7/v74C/bfb+1/H3dV1irw3vf2B+AGgD8C8P0Ang/g9wG8us8yKWXcArhHHPtfALxj//kdAP7nHsv3wwBeA+BTqfIBeAOA/xNXRssfAvBbAyjrAsB/q5z76n1/eAGA+/f95EaHZb0XwGv2n28C+Py+TIOr20hZB1e3+/r5zv3n78BVVOgPAfgggDftj/8zAP/1/vPfBfDP9p/fBOADXfbZpn99S7CvBXDLe//H3vtvAng/rnIZDB1vBPDe/ef3AugtxMV7/+sA/lQcDpXvjQDe56/wCQAj59y93ZQ0WNYQDjktvPdfAEA5LTqB9/4J7/3v7T8/DYBycAyubiNlDaG3ut3Xz9f2X79j/+cB/GcA/sX+uKxXqu9/AeBH9r75J4G+CfalAL7Ivg8xb4EH8G+cc7/rnHtof+wlfh9ksf//4t5KpyNUvqHW99v2y+pfYuqWwZRV5OAYdN2KsgIDrFvn3I29T/1TAP4triTonff+W0p5DmXd//5nAO7uqqxN0TfBmvIW9IzXee9fA+DHcJWq8Yf7LlADDLG+G+W0aBvueg6O4KnKsU7Lq5R1kHXrvb/tvb8A8DJcSc5/MVKe3uu1Cfom2McA3Me+vwzA4z2VRYX3/vH9/6cA/CtcdYgnafm3//9UfyVUESrf4Orbe//kfsB9G8Av4Nmlau9ldVc5OD4E4J977//l/vAg61Yr65Drdl++HYA1rnSwI+ccBT7x8hzKuv/9u2BXM/WOvgn2dwC8cm9BfD6ulNgf7rlMBzjn/rxz7iZ9BvBXcZVz4cMA3rw/7c0AfrWfEgYRKt+HAfz03uL9QwD+zD+bT6IXCD2lzGnxpr0V+X4YclpULpeagwMDrNtQWYdYt86573HOjfafXwjgP8eVzvjfAfib+9NkvVJ9/00A/7ffW7xOAn1b2XBlff08rvQw/6Dv8oiyfT+urK2/D+DTVD5c6YA+DuAP9/9f1GMZfwVXy7//D1ez/VtC5cPVcusf7+v6DwA8MICy/m/7snwSV4PpXnb+P9iX9XMAfqzjsv4nuFqKfhLAZv/3hiHWbaSsg6tbAP8RgEf3ZfoUgP9+f/z7cUXytwD8HwBesD/+5/bfb+1///4u+0HTv3Mk1xlnnHFGS+hbRXDGGWecccfiTLBnnHHGGS3hTLBnnHHGGS3hTLBnnHHGGS3hTLBnnHHGGS3hTLBnnHHGGS3hTLBnnHHGGS3hTLBnnHHGGS3h/weugRPzO3mVSQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 3 / 30, energy = 47135.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 4 / 30, energy = 45963.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 5 / 30, energy = 45445.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 6 / 30, energy = 45244.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 7 / 30, energy = 45150.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 8 / 30, energy = 45117.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 9 / 30, energy = 45089.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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ltNJAW8hbo7TI3EDPkEEMWt9I2VSlTZjIMrSDNaDXH7ly5SpWB0OwJciJ+NEWLULTQGsnjXUkCzl1uYDCtzq2nKdBCqpV2wgRPJGRNl3ViErTjGKLayWgZ4TatqkiUDtUsy8QsUl5iWmvclcQ+kz1qcmIdeFqu91Gt45PYTabYb1eYzabZS2UNSJY59wGwB0AdwG84r1/m3PutQA+BmAMYAPgB733X2rynFxIsgyF2KVA12232wsNnRqRc1aYSRBruGGFypHjnlWb1EuyJHHENCRL5n1Jrrk2P4IkBguRTqfTKoRp2V+sDz/p2LbWhJzdEdrE2dlZ4zoqMbHV0GD/A+/959n3DwD4tPf+J5xzH9h9/9HYDX7v937vks2rBrp29wl13prkmQveCbiXQG2EFiRynlVKFJvNpsruB/P53CyDJbHubdrAuyJZLQKOBpEaJMrlxZLnALC/e0kdDXFHg3cBmO4+fxjACgmCLUGOz16skiwV2KbgtkG+8/l8r3UD5x2gr+xVkrC06XrIZrjdbk3Tt5g7WBewEKeVXGkaqiGlDfP8CaWDaMw2CcRJVJMxukeqn1J78fsvFovGckuLrKTAlQ5Epdd9Q/YVF+EB/DPn3K875x7dHXud9/55ANj9/5aGz1Axm82q+ru2kZnp9PS0F6d5/i6adtFGmbSBQnbGmnXcZ+jwZDIxa2vT6bTzCCagu9mbRsLWvpkaBGorBUTiJIfT6fTSHwftvHBycoL1er1XWu7evWt+ZlOC/R7v/VsBfD+A9zrnvtd6oXPuUefcE865J77+9a83LEZztNlhl8vllXRIlwitCnN0UQ9taq+UjOd+RK67UpO2rkmufGCfTCb7Pw1kN6+12NjIROC9f273/0Xn3M8CeDuAF5xzj3jvn3fOPQLgxcC1jwN4HDgPNOC/rVarxr6wVgwliUob4ELStokgVI/8uaPRKHvWwW2XMoyavAvIRNCEWHM7lKxPKoMmtzmJqsm8U4qm9vXccNQaC3m83VJyymcOOTLNTWb0nRCS3cVisZe90kG1WIN1zv1R59x1+gzgzwD4DIBPAHjP7rT3APi50mdcFVBS4PsdpSYdmp6FhJymcaXgBCGn/pIwl8vl3q4c04QOGdROViWnK2WoZBGNiFUbtLRjsTURGtCvXbtmfn4TDfZ1AH7WOUf3+Yfe+//TOfdrAD7unPsRAH8A4AdSNxqPx3jsscdMDy2ZdlxlLVXDaDTq3J/y9PQ0qlFoA4wk3FhHLd02uQRSS6JyUZ3WCKkuQRueNjnInVmmzieTkvRV5u8YGzipnTS5k2k/Q+CLVxq5NpW7YoL13v8+gH9POf4FAN9XXKKB4hD3rG+yh1IOeFiqTP6x2WyC2rtM5LxardQORe/A8xw0tbPytjw5OcF2u1W3bObgzwztgqAFbMxms0vpKEtlSSPZGvUhoS1UjUajPeFYB/BY4njNhTB2nAhwOp3uz6G2C3kDxfyrU+CDQ6mb3ZWO5DqiW/AACxr1Ux0/lC2fQK5abWnkvKONx2NVG91sNpc613g8vrAVdQi1M7t1pcGGyr3dbs0aOw/MsXo1WN0WSXmwEGUsZy8nYMqypaFzG2xf6CsV4aFprym0uZqfk1neitruTtbOGUMs41RbNvehJKSP9Qer1wwRGv8rLUOoLfhg0Ie9/KjBXkFYvQd4J0ilaqP7yE6wXC733gGxsNZSSBteDY+BXDTdsRSIa0dDQy0lJpboBbDnvyDkLqZxzw56p8lkcsmzpelzYjgS7BEA0hrteDy+YHvjQso1wc1mo94rtFiwWCyKMs33RVhWciXSKIms6sp23hRaMiWL5ioJjDKNDQHz+VxNuwmUzfquPMHyCtKy8vDfx+PxpU7bR2LlpphOp9Ujec7Ozi6QhIUUpeZHdakRbaiD8ZXovhOGyNj7HByK9lqC0WgUlbf5fL6XFZIJnt2qCbnWzPHQRlKdgyTY0r15qILI6C6nQrTiTcLS99YzoQ3kaiC06hoToslkoi7s8A4Wc9omaNrsaDTCYrG4dF/gvBMRyXLNNaXFSncfueKvIUTi2uKSPDdEMjLPaW30fd/cwTy0P1xpjgAOIm1SBkgb5Vop9/YALpc/RrS5obKDItjarlClBBnLipVDdG0SZBtYLBbBd7fWJW9DPoUM7cVVUkb5ve26DZWZd8ya2ZxKCLnL6EcCEVGTLWrk/WI5nGOzHAkqi9RwU6Yaea+UHTmFQREs0CwhSE5mrRLy7ZokS593dnZWvINmLMUgbxur03vOdJrcoUjbkIREmZGkjGgkq7lWlWhKFEEWc00qcUeKoaTtZCKTGsitr9lsFk2OnfPMmiAZ1OS17aQ4gyPYUtSaztds4D5XjktXuikDmHXUPj09zXpHIoIYYU0mk/09rXugxWznEm0uIGkr46WDXU6e0zaRM7PkZrgc1PZ11gaHk5OTLC2fzm1CwgdLsLWmJW2jz5XumOZFRCeF2toxShK3aPfQUKPONLkouS/fR6sJkWnboZQgNGtIBWx0iVxTH98nK4dkLXXJz+nahAIcMMEeYUONFdZYZ9EInDpYrLNo9zw7O2vNMbxJCjppE6VOG3LBamvauVqtokRfQ5ONRXB14UqlkSC1W+0y0L1Cg1YNjfpIsPcpShKUyGvamJpadu4MkUyqQ5RMQ2vtlpBybpeImRVC7197g8cYYm0vd3Du8tlDwyAJ1iokOdvG1ECue1gfPrQWkuFosqofWvHVCOTk5ORSfYQ0vZTmyjvtarXKmvqnSDZF7hQGyrVXGc9eC9wNzDobaNObIERsMdkej8dR4pfHU/JYQq7c91Z6uLSNQRKsBX3ZXi0kqxF+FzbjvrZ8Tjmah8pVY9W9hEyaLKjMZrNLWZZyysAd7pt08q6ivTghSY3aIst8MOxyX7hYEu8uo8YOlmD7RIhkLZp0aZBECqWEwd2tSqeXKa2DCC20fbqst5gGK6ecfSxcSK2ZtMaY9hrLXRqDzEXLoZFs7frQyMgivzF/1rYh5TgVAVjLR1vDILJpSaHLfdE+tFkiBcqb2dRMUes+JWi6I8DJycklAtCSaYe0Vdl+6/Vanapr9ry+tHbZVm2XI0TebWpj8t6TySSLXCW6CnUuJXXqB/KvCQZBsIeKUjKU16W+pxDq3JKo2p6irVYrjMdjdfAhQe1it1NKTMP/ZDklKH0h7RhrJQN61xTBSi8GSvAdQ25d1dBemyor1oTXElT/lHaQ//F7ab/x925jRtOEZAdhIqgxsg3JD9CCVFmb2mw5sa7X687sTtQONXbStdpoLSQX+o06j8yoPxqNLqzkU32S+cKyABUL2LAmKaEcCrHcs3S/9XpdddW+lsxwcwHVac69Y+dOp1OMRqNWvSfIPY7Q1Z5cnWEoqcwOCdLdSSa4aBOadwcnSo14QmRsKXOI4LR70rmSuC2D83Q63ddpSibp/qenpyqR0rHYnk/z+Xz/DrFdUHlb03PljhKxrP61YO2nlqQ7VuQuMnZtUhqsieDs7Gz/N/Rorb5hFbAupucWdDFgajJjse1vNpugqxaZO6zkSpD3k4QaMhXId4iRUWyAqJUfoWm7HUqe2xSuX79uPtd571ssig03btzwH/rQh6LnhARIy8rfNrpeIU0NMDEbbAhWTUY+m949Z0omOzjdw9Je/Pk1iDmVjCS28SHVZ66vprWuOPFqbR7SoEkb1uRAbkJpLQ+942q12u+LRteG2sHaPrxMbe/QK5WPJhos1dt0OsWTTz7pLNcMxkRwdnaG0WgU1MZCNtY2SLUkZZr2W+x6+Zs1qYmGkixR2i6eqev57xZt8OTkJKo9aSRiCVooRdN7cR/WVHatksE3pMnyPiH9Z0MeF7wsOaA2kXJKi3+1Ueq+Voo2N9DUMBiCJdS0zzR9vhSy3BXSFBnXeD9OdPJ+sXBLzfe1dqx3bLtmazs3ScZcG9xn2BLS2ySXgtXsw8uRkqmcWQctHPEFxFoJawh9bEIIxH2LQ6C9vHIHmcEQrOzw/OUnk8kl4eiyw7WdMT61FTIJOdVBTcfonM4SIuDSVHw5aLu9eQYywNb5zs7O9m2jDW6Eko5ZCsssKgSaRWp1zQm/RmYxekbMXBACn/k0IWnt2vV6vfeC0X7fbDb42te+Zn7GIAh2u93uDcdEGjKPY5dl6VpbyhFYnqUqpQXGiC+kIUmNUfve5sxCThlrEVOsTbWsWNPp9NLAxwc06fhf6v+Zi9z7jsfjTqLduuwz0ixYYlYjuZLXch/u0ntzDGKR64EHHvBEsPRiUqPgv/VBghKhRDM1yqXtF8afG9KutP2yUuhrmsaJtPbChoRWl9x8QW25Wq1wdnYWHEAWi4VZW+fyW2tAssiWrMsYucbWL3IW8nJlnsqktXuJPMbapMYALcv5wz/8w/jsZz9rWuQaFMFy8tAEYyiBBHJxpotELhaU1k8Tko15I9AWL0B4Ci2zbLUBbVAKbWy53W5VcrH6ycZQg2itZEakIMskZTU2kMee1YRgyRQB3JMfuetsLkIk2zfBDsJEwNH1Kl8N9E2shFg0W23XMoubV2znTm726aL+ONGk5Mu631gfsC765dgzpczktkfOjDJVr6XbcJduy0OImaTI1l7SdwZDsLxR+8iQROgzC1AN8A4jbder1erSAllXJoIY2XYJIler1hzz+5QoJYcSlJrJNPLMIdSaW5C3PXMp0V5jJF2yuDcIgiXzQK0Kt6YSzPFp5ai1e6gGWjzhiyglrkrawiAfuOh3KVBcKNuyc3e1os4hE63EMJlMiv2SuyTZQwGXMZodLBYLzGazS/LXpO64FpuSsbbt/oRB2GAfeughb0naYCVgSbB8WsI/11qQqglOrPS5xN6VO8WVJJ56juwYsm0ozDnlAcJ/16bufFDQtDbKxWo1K1k0EOliVQo5E6s9K0q1Ea+TEk8c7f6np6dBrZ7P/jQ3LDpHlqWtfdhikARrTbG4Xq8Pb5Hrxo0b/tatWwDuEUNIC63lssUrjj6ntvvQfqetrnOukduM8OMcdN9cDbbEfhgica3T8PObLHbQ9Sltgz9DW5zJeW6Xph85ODQF3cM6A4gNOicnJ8kwc03Lk9poCLxN+DVcxuk9eP8pSUYTM3HInL08K1pMduk3ekeeXvLBBx/EV7/61cNc5CLQi7U1omnCFzKUk/O17NzL5fKSsHNyC01DSKD4SqomWGSKSBGIJPGadcaFsC1y0tLXhexdGhGEyhXSsrogWSkXTSLSSsqb0ujlTI5mG7kLVhrJxq6na7p2s6T64H3DaiKUA9tzzz1nfu5gNVgeA03YbDbVNNjQ1C9GsDEQQUr3lpStx9J5NA2ZEzJ/HglBrgCX5gCoocE2uT6FJpFNpZCzo9wdZSViUWIaanjhhJ7B5VlL/JPzftrCp6ZolGxpxHMqlMpVSFF57rnn6mmwzrmfAvDnALzovf+O3bHXAvgYgDGADYAf9N5/yTnnAPwkgHcC+AqAmff+N1LPuHbt2gUNMYbQqNnllsUaYj6fTZGaNsW0jpB9khYbQmW1aDKW94zdx3o9UE6+/PqmRFfSvk2TmLRFrjFNfrlcXpgVWfIuNAXN1mJJynMwm80uaOl9LTxa8sEuAbxDHPsAgE97798M4NO77wDw/QDevPt7FMDftRYkx1VE2hjpOxGGnNbW9P3sKmm1FdxOS6GdRARkA5xOpxf+aCpYWi+51/bt8mbZnoWQs11MaVnaOLcEMe1usVhc8KaIEVQtv3Vam6jlF83tp30hSbDe+18E8EVx+F0APrz7/GEAJ+z4R/w5fhnAyDn3SOoZX/jCF/afqfOnwBNyc1Bj1yRaKYQ5JBtzgG46JeZZ83MQilay4OzsLBqqK6f8ORmY5DnW9ippWyIX/hfyv24yzRwiNHs3/yPIGeF0Or2kZDTRbEljTaFk88GhtFnpjgav894/DwC7/9+yO/56AM+w857dHTOBKrFNB2QiZUkSm80mazpn0Wb5Rnfy/qHGtwpGTfcw63tzUqZ308jWSt7ae4Y6rJWgtUE3p7Nxbbe0k7atBafAN5tsCo14gXP550m5Ux44ucjVYlPtxNuDiL2LgBfTIpdzbgzgk8wGu/Xej9jvX/LeP+Sc+ycA/rr3/pd2xz8N4K9473+nqUQQAAAgAElEQVRdueejODcjwDn373/TN30TgMub0MlFLivoPtRh5bW8cmv5w1pG85OTk31ZNILWAg1SoHPpPbQMSnJ/LqCdfeA5QjkauDZiqTOqr5AWE3oP6wo3lzFLebQFQX6M6r7JzEUbUGKkHfpNIyr5fC0ARaYNTdWxVZa0NpF9VZaxdAEWuOwCZiFukttQ++UscpVqsC/Q1H/3/8Xd8WcB3GTnvQGA6tPgvX/ce/827/3bvuEb7hWjqz24ahvtrWaDNkhtsVgEyTWU8b6rWPvY3liyXKFZRIxYmr5H08UPGZiRCvMuJdfSa2L1QzZ54PKMTM5Ocge3mgiZMFKQdVKDV05PT3Hz5s30iTuU+sF+AsB7APzE7v/PsePvc859FMB3AfhDMiUMEbk7UnaJGruA0kjM75HTeXP3M2q7LnM9Rbr2LKkxEyoh11AwCL07adj8N95WTRdum2ivdH1NkwqvQ35fzSVQ1ndt86TFTeunAUwB3HDOPQvgr+GcWD/unPsRAH8A4Ad2p38K5y5at3HupvWXqpa2EqgS+yZXzSVFdlJpJ7JuY53S0FN7IeXUTejcXO0wNQUu0TalD2VTt68YhpiDQOZXBmw5YjXSbJJlrKuBLjZAaeaMnMCTEpttkmC99z8U+On7lHM9gPdml6ID0Gp+W+S6Wq32W01YUdPliy868HBAKlssybEFpa44mhdFzc52cnKC9XodfEat9HhN7IBNrskFaarL5bJRPYe8X0KJjprUTy3tVSNKzQ9c2pdDWqtUQui9X3jhBXOZBhcqOx6Pq9hHtWlHXyu7MnlIiFgtI2TMEXu1WgUFO0SQoTrRtnvOAe/cXdR76BkhkuFTZiJZTe6s3gtW98JS5NQhT2jdxjOl/GkLslS/dG6uDNTctYSUC2kWoARTKTSR39JFrqp4+OGHLyS0JQdnqVmQ+0uTF5bGezLu19ImeRm1sra1gNd2AAQJqeaTKJMRz2YzjEaj4IBROoDmXGf1BqByr1arLD9culZLelMbJeQUQpdmsSZ10jTUuw2U+FsPRoPNtW+kbIh9JZO4ipDbj9Dq83w+V9MJNp2edo0uEtqUolSZaNPWzFHb/3WIkDJx9+5d87WD0GBffPHF/Weyp+WENmpROYBtxOkzuz5huVw2KgdprzU7E7WBbAdOqFRmnliD/l/FAYdc3rpK1mxBLR9ugmWBlDAkcm0rcqvpgDsIgpWgl+KdO7WVQ24Fcw2rq6gODZKcLOirvJaOx+2aVwGlpFqS5KWG9hyzw1tgLfeQyNUCXicyiCGkiNVoj8GYCCQ0ku3yuUBZyr4mIJcR6/RuuVy2QmSxOl8sFsHOxRcmusjARLA+K3enAmv5ay1waS5DNdM5UpJp7T40YJNXRsyzoiTKMHatdZuXQ8QgNViO2AjDp7D0uS8bWukik+zEufbAyWTSSwJjDV1qrXLGIhdFJUHI+tEWI+WfxY58CLbmmhnlmmqusev5oFdaZq0frFarSzkqtPPasMUPVoPVwDsNr6yUNhIatVOO0zVdRUI+hUA4BjsHMjyW/yfNgL5zUuADFIdmx7a4gHHHfm3jQEmCGinTMctGlVLrm0wmVQcbSaDb7Xb/DHpOrVlWri+pNu0tzUgmoWmwJRmteDnoO3c1TJn+OELavOynXCbkWoC25VDoGTVwUARbC7FG5QlKtKgWTch4YhpN4+bPIxcmK2IkT509Ba7Zy/KPx+PogpQ2bU1Fv8hnTCYTNXkPPR+whVsul0t1piBdwvg5mluc3I8JuDdAxepCekxst+n9xLpAV7OXs7OzS8RkJSQtQjFG2NRn+CAcCnsNPU/KFF0zm82wXq87abuDItjNZpNdKbIR+aISOYhrnZsLUmrklp2StBvu15vaxTLlcykHhRCxnp6eZvs68mgXLoSEs7MzTCYTrFar7HDJ1Hu1gVRWfN42NGUt9XrQBuum72UlzBxi1dzpcl25uiByWZ+834QUo/F4jO12a27DUIY9fr/cpEMhHBTBAueVYtnnajSKbwEeA3XO1Eo9nVeS7NlyLHZcW4gIldcajaRhs9nsnyPrsyQunc8MrGVq0rFl+DIRjTQ38cU5+qwFH1jKHLomZXJqg8BCg620N9Kz28zFLBFKZ5mL3FzOlvvFjn/ta18z32vwi1waSmLHgTABUXSSJJCYFhT6LeQOQgmQc0ZBuYgjERpouAYt60EjRX5suVxiuVxiMpkUCa1mguD3b6sDly4y8k02ZV3xHAcUPBEbtC0LM7W09pAc8WTb6/Xa5M5nIfaQwlLiIgngkkxoidKtWK1WWbLa5WLswWmwQHkFWbbBltth8CxMNAXhWgEffUMCWKtTSRuY3Nqcl0UKK3+Ptj0ttHpo4rdrzbXKEXI1sgwcy+XyQh2lNKyuXQlzwfdtA+r4sGq5KkrMDsBFeWmSYlIOOtQHNKXHmuSnKQ6SYDWEVlE5uKDxSucNQw1MJB5aDKHf+XM5qdF5dD01KE9yTNAEvnaiC+s5OVN4Ddvt9tI9tttt8p7aIpPWlqGOkZPbN2RjI/CMUePxOJhBqgRt2zF5PeeYl+Q1MrcEXaedmzqmIWbLTy0qW5FaLyj1v/3O7/xO87mmLWPahnPOVAiZZowQW2Ufje5tvCevC1VsToVTI0kykAKsuTJpkNu/yGt5+WQ5a9m0QohNBTXNJdfmyDu+5rkgBzXtPAlOpDyJuRwACBabJX2v5aeZe32sfbWBQ5sBNFnYomOxcszn82peFiGSlf1Caztt4Sskx6myUt0+/PDDeOWVV0xbxlwZDVZDiTDnCAQ1niS89Xq9z8FaIyZf3kcbmTW3lFJYZgOha5ogNmWTLmk5uSro3NKdHZpcU3r/1EAWQsyVabVaXVrA5Xlz6XMsd3DuGkKub2+fSKXovC+8CGqhaUOHtGjLfU9OTi6ZEFJlI5LNza8ZIvhcVy5JutaFkVxIz4wmnhEc1qkmT04ee1Ytsq3hgRI7l99/vV7vvSrI7MEH5bOzswv1Ld0LpczN5/NLpEzHQygJ/ZW7UgD2PCWhMqSeLe9ZqokfFMFqRmtAt2HSsZB5IISaWaBqZ5TSBJeekbu7Jy9bydSxRoy8haxDLnOab3HonUKdQ16vadBUxi5CsK31KINVQoMQ1UcXizklXhy5MpRrB29CwrVwkG5aFsSSkhBqdZrNZlM0rS55PrlRkRmiBigJeeh+bU/ryJ4ZW6DJXfkuqZvQQlmt8NNakHWTaj+ZDUzbDFODhZSauFfJZ8VSlcpj2nNjbS4HWZ4Mv82IroNa5OLgcc0xcEM8XSO31KgRU861BIsbmUWr0BaBOELhr00Enu9Eaq0X68JWbm6H0IaQvM2pTrTORUEDnLh5HWpmHs3boVYSkBoDFW8XGnT4O1l3ArYuhPL3rUlEsp5PT08vyEdO5jOtL4XKutlsouaxWHQX4c6dO+ZFroMlWHphi2YjhSwUo9wEOQTL/QZjSBEsQfoR8jKFNnZLdTA5De1qihWrE97WnGRle/LoM8vUNbZFehNyra35h8wC2nO4+YXkhq5Jbc4Zes/cgAJ+rqxbKU/k3keQBBmTv5iykqulWuR8Op3iySefPHoR5CK26h8zAdBiAjUi3Yffr0ZnS8XYy3OXy2XwuaFOJjeIA4bhSD8a6Xt8ae+Yu0NE2/uZ9QFZJ7w+mrjx5c5CtOdrGcqANPGHELKl5yZKb0POD5ZgN5tNsDGsuQQIo9EomT80hVBAQuw+OSvyFu2VQO9dGvHWxaJICFqdNPFGqFGWIYK8ACwBFpb21KbsJbC0FfcKiOXAKDVJaHLPIzi7zLdw0ItcWkVpHctik4zlZOVTIx57XRKDrYEWeWTZte1KeDpEq/tQyEVJ1t90Or3kazoE7TUGS2eh2Pyrhpg9mR9frVbR97f2I0JoFleSj4DKprURyV8TGdT6UJdbLh2sBkugRtEat0SLaUKYOXtWhRBzCyohCasWJrWgvohVG9xSkAMIRYTJ+rJMQTW/z6FqshSSTOQqc2VI0k1F+mkkLQd3biobctCAhtVqdUGBkCa3VAh1CQ6eYHMR22QwRJBddTBaxAk9T9qIQwtX0lk/lF+AztdS+PUNPtA0Xb3WkvRokO1PnW0IRBIqgxYYYXFR40EIy+UyWMfarhQEK8lyQk8pCVQOTnS5Pt4cKZkutftacVAE28Q5vlYYaSlKQx8liGRrTXk10unTLFBrMNP8hOm79n6HvAtuqF/Qb/IYN3dZ6zuUhaxGzt4Y+OzE6o6Yk6sCOCdZIuIm2bw0HBTBAveM1TlJm7kAtqmN5Ny7hEhoQSP07rHny1Fay+q1Xq8Hoa1JlCx4hDSX3MFjKPVh1RZDGm1Ie8+xncam0KHjTeovRXS5O41o0OREy4rH75nTdwdBsK95zWvw0ksvJc+jGP4SrQ+oH7raF7TOpo3mJdFlQ0QNB/cYsYbi7Q+93kLI3faHruFklKPgpM7VMtHVMFdJcuxjFjsIggXiPqg1cFXIteQ9NDe0Q0EJucp3jZFrjERzptB9QdPuV7u904CLkXkhcMK1TI8pFeGhIRSQE0NT3hgMwQI2gY5Nd/rEUKaSVwkldVqa0jBWhkMiE6v9UGqVlus0V0ZL3aRMPJzE5vN5J328hGxLMAiCffnll7MWGXJtnUPUXnNzF9yv4OaQ2iu+h0ScMfBIqKGCe2Tw/iuJnc6rvdgUg4VsS2fYgyDYNtFEs5QuI9ooXJIoRpapDf87Cb6/GGHoQQQELQiD/1Z6Tyv6SkCei6bb/VgRGuhiORH471bPg1pbx+RAe06TgXhQBNuHRiEbPSeTORcQi60w9n452YNqgedU1UhfK4/sMG05nJfe0zK9bEvOhmQmihFSkymxJFZuQtFkgQ+MKX/YWHSVxUYc2i6nSbtMp9P9s0u02EERrBWhRL1Nsh2NRud7d6XuUbsT9TVNjb2HdWEp1rFSz6n13ryD07O62jFUlqMv8PonLbaNKXabDvnAxc0mQwhptSGlZLvdNq4Hef0LL7xgvjZJsM65nwLw5wC86L3/jt2xBYD/HMC/2Z324977T+1++zEAPwLgLoD/2nv/C+bSFIBsrLIS2licsIa5WlF725HcTm6x/balTYfaJ/YOo9FI7YShqLxD9Zyohb6DawCdlGNmjJwdfOX7ae3dt13aosEuAfxtAB8Rx/+m9/5/4Qecc98O4N0A/iSAPwbg/3LO/XHv/d0KZQUQniJoI3YNLS11H6DuBnrz+bwoh4IUZMs9tPcqcYtKZQyzEH9ublwLQukdaw++XWivQzI/EErqMIfwcnLCAhcVhqEMrslsWt77XwTwReP93gXgo977r3rvnwZwG8DbG5TPjBjxWsEzVKWyZcmsVqG/HOSmWSRoWkJss8DtdmvSTLWkyBKWjt+0bmRS9ZwBqO3MSUMkvi5QKgsaZN+dz+eNB0HKoNV3rt8mNtj3Oef+IoAnALzfe/8lAK8H8MvsnGd3xy7BOfcogEd3nzu3RUq3kdjzYxmuUghpcF03fCj3Jh0rGfFrkkuonkLPyJlKauCLm1yritkZc1fBu4Rmhy1FKLlKKigjdlzWsyTV2DOb1vN8Pr8k312ZDkxbxjjnxgA+yWywrwPweQAewP8A4BHv/X/mnPs7AP6l9/5/3533IQCf8t7/TOL+pi1jqKI1v7UaGmzsmU2Ru2mfRsCaEJ6dnQW1UboHrxv+PpYpVS0bbKqjaKkBYyvS/JxY3UondomQ3LS9oJOLHDOL9DPV6p4f4/IUW+kvyTcgf0vVK5WlpP5TCpAm4xqnxEBeKq1uGeO93y+jOef+PoBP7r4+C+AmO/UNAJ4reUYIoVwEbRj0m5KrhVRDAQenp6d7AafGp/cmdxF6Zyk42uKVfBdrcEPTqSC/PkSe3NYWuzfZVHOeL/NQEMkul8tBRgTWxtnZ2QVXoxRimp2WShC43GaW2WAIsWRGKaT8lWMLn9I7wZLrw4KiHQ2cc4+wr38ewGd2nz8B4N3OuVc5594I4M0AfrWoZApCL1li72wbMXKlZBaysfl360ivkQ2/dyjN3KFCMwtYN77kWkrKJELZxrSsY0OH7AttRjLGgm/6Qmr9JIWayprFTeunAUwB3HDOPQvgrwGYOucmODcRbAD8ZQDw3n/WOfdxAL8N4BUA763pQQBctL3J1GG1nd6bRu6UCB8n1tC0xWq/zbGr5tRdzXou8VpYLBaXSJW+p8iWBhsalK3vUZKBqiYsZW0r6KMEcl0jx15e08sjRbShwUdq0aV+xUmC9d7/kHL4Q5HzPwjgg9klyQARzHw+H4x2USpMbYKm1JJopfDW3O8+9hz5W1+uNJvN5sJ0MjQ4yvI3yazfNYZAtk2e31aSnSb1QuW5e9euMx5kJBfHarVSK4wTL58iN5kuW8m8yQo3jZyWTmx1kbIgV+j67sCaFluK3Hdpe5uRoaOL3BlAvL/lmD1iXh+TyQSj0ag1M8rBE2zfo3QI8/m8FU0nx73LuvPBZrMp0iZT7kqxjlhDe80hWeqsRIycVGMuRqEBiuq2qwXXErQ9CLY182kL3N1SJla3JOWn3+7cuWN+5uAJtqmArFaraqOtdfM84B65WFfICaenpybBtdxrs9moJCs9CEJkZ/E0COVvaMMWrt2ziSYbcl+S7829N+T5GglLU0KX9lv5Tm2RbJvkGorAawu8fmppzYTBE2zfU9EUUs7xnNxTWlsqMXGu0LXhTJ1D/tR2ubY0IjhrJ25qLshd4ANsA0jJhn0hNOkD9H5tZJtqE7E0odqglRrIeBuU5GAuWe8ZPMEC94Taqgnwimh7KxqJmLCu12ucnp7up6lccHJtSnKa0wSaf6AmgDW1ljYGTguRW7J7pfwpCakV6LOzs2CdaQtmUvNMlTkErW6liSR1fgh8baFNLdOipGir+iUr/aH35+k8Oa5fv26+90EQLIckWSLQ2OhS6mlAHUg2mnXPJxJG7twO3OuAsoPmdqQS00cXuycQOXByqfHckKM7cK7FUqKcpl4coSk216isA2KokxKkbNF9h6pVXhWk2oWfRyiR4YMjWOCyULblqlUjn+Z2u8VisVA1GVnuIbh3xRLBaCYMqeWFptBSoGMEMplMGrnoSF9poDxCSCtnqqMtl8tLwR7WztnGDshd7QZQE12YBnPapRQHRbBDsMempskhYiByktqd1X+WT8csRNFWMouYXawLhHZg0BBLbpOKn48RvPSO4PcK2TSJbHmHbmvfqdi7NXUxKzULNJ1Z9OEzXYN8Tcle2sZb3vIW//jjj6u/adpp3ySroSQ+n5NUirC0xC0aZD6D2O8EEl5OKhbzQygGXesMVs8FiZIMTvxa/hySJUtbabkKLB4EHKGZVWhBLtS2XJtNzSBS78aDdLT7lSBX8UkRLSfxtgOJrLMqjlu3buGpp54yJXspykXQBaiSh7gjrIaSfKeUq7SGkFP+yxrIXVGXnyV45FQIJYnGU3XMZwyj0Qjr9VolSX5suVzuNbzVapWUv5IwzBBiO5oCuvsSj7uPlUXWb608uSWmnJx2trRBKbpYjxikiUCOsl3YStrAEPOGxuqST321KW0fqLEZZFPTUpNrOTlwj5YQaWhmA0m8kihj6MqfNLeOc5PL00J2auNEK6Rct9VHB6XBxrSYoWwBUYKUZmvtBDHzAM/QlUOOdK5cOc/RTJrGjIfeXwr9eDy+9GctH21brpk1qPyabTJW57nvbdHEKB2nlJeQ3bQJgTbVYEPvnzOL0xAql6wDPtsI4ezs7NIA1aXSMAgN9plnnineQ+oqoA3vAS0dInAvTDCkDXJXKO5rq5kDUj6luTZLfr21rdtKChKDJMoSO2HONVJzy4F0FWzTUyW3HUJlyR00pPujhphPcpsYBMG+/PLL+1GFk0LupmdtI9cZPUVA0+nUvIrMhdFiegiRKy8b1W8oGi30brHnakJcEp2maUCh+4xGowudi+qqCfFq7xjSQFN+2EPAEFwA24Y0H/DvfXm9DIJgOYhoNeIJRWVJwrFoWJxAtPOsWloMoU5XGpeek5k+BKsGmQMtaYpFA10sFqqbWmjwKiH80Pn8XlI75PezLrDQedxDoEk0lkQNgghFiknk2Hi1Z6TkJ3bPmBKVk8WLJ/Xp07w4OIIF4navGMnIhh2qVtHE99F6LW0VwsNgQ8IvtUVJmCmhDg1QMVKRrkpap7OS0nw+v1B+y3Q4NOU+PT0NulHl5juoadKK5amQvsmW54ZkIWd6TvfQTEEaaiy45Q40m83mgs21a44YJMGGECJWrdL7Nido4GWiMscM7kSM2nUxrNfr4HnkumTtFE0QItmYhtPF3vbj8fgSWW632z0h18oz2wZifq/SAyQFbaZgDQjgg3CoTHQ8py/O5/MLg0luP471D03u1ut1qyQ7OIINdfRQUozQ+V3YXHJWI2U5LddqTtAph33+e8g22OZiYchcE0LTsljJMLTFzCFBix6roRXyNuDyJIk21Fax4zwhPi9rapZRqiDlRBp2sWg+OIJNQXOzOQTvAks5c99lu93uSTSWJCS2m2ZbyHkXIrsuvAEOMS5fQ5t1VXO3hpAMtLnoxiMTud2WD/pdccbBEayGmosJKYQyYFmm8VpmppzyhpyjeZn4M/i9S0k2R5PI6fQyh2sTv0nLszgONXDlEGGpa0todQlCduYuFbIrQbAcpZpak3A8SUJ9J0RpArJ/5cRoxxzOY/dYLBaNbOVdar5DRY30jG2jZEArJV1rKtGucDAES3lgQzY+beqnkaa0SeZkZ7Igx3k6x5m+BqzO5po2XpvEQvfLGZRCOxmE3m9I5oFaTvYa+jAJpVCjPJPJJJlDmb97aL1CHm/Tj/lgCFZCdtC2Ur+lQGTUhxaRa0vizvghga+dJDsXfAW5dpamQ0DJflSaFjtEku0KIbmNyXPOfns5GBzBNtGUtE3mUh20dDrPE9KUdOxQqr+Y+1TXtsOmia8t6DLUdYjJd9rEVSPZrmR/NptdMi2UmhAHleylFmLRTqGKKrXVaORKSWtkVjALUuXgHcZiGy0RjNp2qyaEFiPfUlerq7jA1eUurH2izcFxsVgENdhSzXZwGmxNpBpDEnGphhMTbv6bFjgQQx+aVhuLAtapfiinqbw+x+5K51Mu2KGQaxsLoTXv2aVnjhXUf9rID8tlqmYfuNIEmwtLjoIS8NHP0sFzI3JKkJo+WpJk10LOc7QIrENGbpReLnIjlXLJRQuXjRHgZDLJzv2RCm9tOmi2GXQyOIKt1alL7iOviQk/aUwxgQxFX0mEQg2lRmIVJJ6tK4ZUWGpN8mrq3M1DWUsxFO01NONpqjnRAlksb0EJeNpKDTn1qp07nU6jspGSGynnMsm5PCYR8kYJ3TMHgyPYtpEzmnNXME1oaVW+dAS0OkE37XhaTLgWYntoCyL0XpJ4qT3of83IpCZI2UmvghfEEFBiL5WRkDHl4tq1a+b7XslFrlJNKZQpX4vWqr1ra8j+2ATr9TqYcIM0iS6n2Ic+nW8LtfbHonsNFZvNZv83dIRyJOf20cFpsKFO2DQPqgQlabZqN2Rrqikcbds4rVuMl2Q9qo2a8eGkuY5Go0EQjqa5tl2upmYC67VD3pS0adlquBAOjmCBZsRD04OQXUjeWxMk3tlDFWyx26RAgRFy8ChN1ZaL2ra6Utxvmu0QSD+EXHkIJcHvE03KU9t7YpAE2xdCNlG+wsnPaUKwoagzLuBNo6qGQqAp5ApyjJC5K1zfRFaqufJzSiIFc6PBUlshlRDNEIk3FzUG/itHsKUrxVatcTQateqPZ4VV6FPvw5O70M6rQ4R1d4K+SbUpZPlJLnNJkw+sPNa+xAUxdU3MOZ+T1GQy2c/WiIDbyAEwJHJ33vv4Cc7dBPARAP8WgK8DeNx7/5POudcC+BiAMYANgB/03n/JOecA/CSAdwL4CoCZ9/43Es+4UAhtAcliK7UIzXa7Ddpep9PpJUIKaZGW0W0ymezvlzp/PB5fSjNI1+Ts4V6Sno2uGY/HrXsSlE67UoEEgO5q1keEk6aBAvdkKVSm1OAgr9OIL3YPTnj8Guv+cyVt13e6QCvRWoieyj2dTvHkk086y30tBPsIgEe897/hnLsO4NcBnACYAfii9/4nnHMfAPCQ9/5HnXPvBPBf4ZxgvwvAT3rvvyvxjCTBApdJls7jx1NCEoO8NrZbgOWeObkDNO8FLhzSPBHKZWCFZsAnkm/LrFDaseg6bpIhtzJ+zDo41CbdrrTmmOcK1VEJwV51pEjWqkWXEGzSROC9fx7A87vPd5xznwPwegDvAkAl+zCAFYAf3R3/iD9n7l92zo2cc4/s7tMLSm0pKXKMLYTlaII1Vitz76Gdu9lsBu0LS7HiWgBHTrkP3YygwfpO9xOxEvo0GWTZYJ1zYwB/CsCvAHgdkab3/nnn3LfsTns9gGfYZc/ujl0gWOfcowAetT5bm9Jrx2LuPlIDsGi+JaCNBdtImnK/rbgDF9uUOspQbcV94NBIczKZ7AeEoe78XAtmgnXOvQbAzwCYe++/fG5q1U9Vjl2yQ3jvHwfw+O7e+99rO/DH7knHm/rYck02NL3OJcfQiJsKKUzt8BkDX4E/BO+DGr7RoSTkffiupiDb8tCIFbgnY5Tms81k1xyaFksKVu+7yjrnvhHn5PoPvPf/eHf4BZr67+y0L+6OPwvgJrv8DQCei93/4Ycfxq1bt/JKHgERTd9ajpbbNUV0m83m0jmxQUeSTK1kNUMj2dpTPEmg1OFns1my3vrYpoWX9xCJtW/0ZSKwLHI5nNtYv+i9n7Pj/zOAL7BFrtd67/+Kc+4/AfA+3Fvk+lve+7fHnnHjxg0fI9icWHKeDb8pweZqSLE96zXkJrHQECtjjsZM9cbLxF17apgmmhADt7fKegnZX0MDkyVjk3ZuLCn6ZrMpynkwm832JqVQmazeMUC8r0i3KXktgEtlyfGLTcn/2dmZei1vz9DnjQ4AABHRSURBVJiclcpPiFyprrbbbVZfv3XrFp566qlqXgR/GsD/A+C3cO6mBQA/jnM77McB/NsA/gDAD3jvv7gj5L8N4B04d9P6S977J2LPqEmwvBGsBBuapsQqvUlSlpyY5hjJrlarKDHk2oA5UWlC34Rkm2pdseslwbZhZsqBVV55OXO9QjTit5ShzVmJfIeQ1w0/TytPbmatUu1UzkKsJJtDsBYvgl+CblcFgO9TzvcA3mt5uAVNMiFpC16hxpB78qxWq2yh53uw55YrhJTwtL3wNYRFtRxy7ptcqQzL5XKfU1cjHtm5c+s5dX5Ono1aqCUrWv+Qg/x4PK4+7ecKWa3cJ0kNtgvIRa4mgsEbpratymICyNEaa2kTqXyyVpAmGHN5Ku1ETdpCkqYU/slkcsFGOYRBAbjotytz+o5Go1YTPRN4X+rapp6Sv9iCsETIrbAJUnb0EMlW1WC7Rl+5O9vYwiMFvoNCCQFRmWsMJFY/0tTUtBZyNNFQpFut8tW4X8224uiqPYYIHt7O+20t98hUoJEFgyPYPsAbJIfs6NzSBuUNSHtGldxLdqyuOpqVeGqRCg2+TSPCAHsd5SxU1iZ0ec9UNF8tD5JUudqUr5Jy11aK+CyDg/rrnTt3zPe6Ugm3m8RKc1tZzqp5LWGbTCYYj8e9OV432U5FmmV4ToXSjr5cLi/MZmIzm9FopPqt5i6WpKARWux7zAQQer52T1mnqTKGzmmi2fXtGtbV83PzjaQwCBvsQw895JsSi2bwjjVKSeVZy0juKLmaXWhDuFLEvAzoecA9oZpMJoMOlSWEiK3vQACCJaUlf4c2bbGhxDNdwKJZynMsbmTWhWsJ+f6lW9rfvHnzcG2wQP7+UDS9zoHVQ6CJpsNJ1iJIuTuAxhCqk6Z5E4YIucLct7ZVorl2CWma0hCb0Uj7eOzc0G+lMhfzo40RZo3BhRa9coKiBkGwX/nKVwBcbAyuVXWBmoJfYguj8yxTdetWMPy+WtLw0mQpluf1iRpEm7pWDlTaLsNyFVpbuOvCk4CgtbE8llpk1uollDUuRmr8/JQ8j0YjEx/kLlR3kQRmEAR78+bNvfBxW1oXU76c1HVaekSJEEGWegpI5HZ8fl2pTSk3S1dO5FFNQu4jhBWwbeFeA5rcpbwtms7sNNDAwf1GLVqxhvV6fSk5OHDRHEd91OpZktMOnGTbUOoGQbAcXXcQ/jxJtqGyWBpaO2e73e47ifyd/yZB5bIsGnG3ryaJX5ogRJ5deDfwNoyZWyxtaJHFJoEN4/EYy+Xywj1y3RT73JL87OysSr4Pzd90tVpdOh5rz5r1EDJRnpycZAcgDI5gh4C2SN66Ki6Ru10IEZuWX2C1Wl2KOGvLDDNkv8xQ8naCVQaWy6WamjLVEbnW1idJNoVGslwrbHtQrzEDmk6nl9o7pM2enJzg9u3b5nsfCRbnjcQ7WBtTzaadiDI9UYPHbHf8NymAUgto4p51lVDaPqH6Ozk52bdVbhKgQwa9m7RvpuSQQAMTH6Bi/s+xmZ8FqYGw6TrFfU2wvMFCU/chIbeBr3JHbhttDTz3U5uUeMRwzXcobndNMHiCTY0wMRuQdm3KZsQbVV5vtTednJy00pFotTa18hzSnA4BqcW4Lggql1zlKrocCPsmVS7HKRkusTP2iaYzw/l8bja/XblQWUtDayua1vNjHVl7tsWoH/q9VnajHC1WlmU0Gl0oQ85utUNAqHyxNqkZvsrrXt6XgkRynmclvpqEl5LhoZJrqO2t/Uo7r4u8I4Mg2M1mY3KBGgJSAhojqSYka/XXC3UQKhffJsfiB9ilFizDQWu5tpWUgTCdTtVV5VSoa269heSqDcIbKomWIrTXnjwuv5Ps5y4i52AQBFsDtVxGmjyr1H1Lkm6K9OTzU6RqAbmAdR0NRSSqPc9Shvl8HvV75IsuHNpWOwTrjgkxpLRZrc3kgHIoRGgNNLFEXNVA7jpKW+QKDJhgS4SLtDJLI2uwakxy6w26Zrlc7hurxgaHMbTd+frQXHOR0zG62lyvFHx7HqC/PaT6BvXBq7DABQwk2csDDzzgr1+/jtPTU4xGIzN5aCNibifSQkk5cpydJVIEMASPhdFodEEb7jJ0k5ehhGSpfnMjqELyFbOfE3Jcrvi5mtsRB5erQyNXXm9NZz6xoAvrva0eQVTPJRqs9/6wkr2UjFiaVpKrqfApapdaWxvTktzyk8B2aV5pA9bkQKmt0DXZSa0c18jDwJ859IXGIUMSspVo27TBDiYfbMkLSlI4OTm55CIV0o6s+UPpntrzcsDzerY1vY8tvGh/VwWhhcPVanXhjxCrB42ErWafWgM0l7mrCkqNGRoYay52y9zCQNhLiFCrnwyGYIF7BGFxhaJzRqMRptOp6pKkEa1WaZRgO9ZB+POaJtBocwpoGVyAc2FK7Zo7dCLW8khohJoLfm3uAhfJkDS1kMzmEOchE+1sNlM1R41U6Rg/vw3zGZGsRt48goxknuSrSV8YjIlAIuTwXFPgqFOWmCd4Zec4xndpdy1d2Em5IBGGEMhAneXk5KTawKXV2Xw+v/D+oRkXl6XQ1HPIi221kZvXuTQvhlXj1c7jCZLoHJJtjRty1ikGRbDST1Qz/Et7Ye1OXuJ7aTVv9LGopaV/4+Ajd84un7HjQPk21LmuZUDdQVfDZDK5tJBGHW+xWEQ7Yw3Q+w3dbYvLd9OZj4Uwqd81TVbE+3xtPhmUF4GGVOfpSui2260pgTIHP7+LlWFthTunfmqbBZpsLJgqQ07eYG3gyO2UIU+F0mCIvk0vtfpN7D45e9sRqF1Se7ARSm21MqiFPltmo4vFAk8//fRheREAw9nyQ4LKVaqBduV2UyNQQHP8H4IpoDY2m82lzhU7N4Y+Is6aokbOgdj1XSk+qVy6MkKUvmu7elgXMe/evWsu3yAI9u7duxdebqgCO9RyhcCFPCeKZrPZXNDw5L7zXSBV1znT8dytRLSyAHEbdI5sDEGGJNEAtl0vZrNZFnmmdgmQSXIsGqmsaypzaLa73W7NZqSYua/EBDQIE4FzLliImNbYpXmAYO0cVLYuncZl54jZX7V6zXGVs5BVzCk/pBXy+7ZFRHxn0tHo4pbfWgfnJFCq2Vu15a6gEawVlvIP3V5MoLbNdRO1BhoMyk1LIkaufSWFkQKZY2eyuIPVvJ6Ita+k2kP1u+X1V+pgXrKINyRTC18pzwWXQ+0eh0KuXWAQJoIccGLta8quCRUvSyiRh/a9qa00Bst25rR7AwVoDI0ILeVJuY9p95AadGzA1nZNbbLqPBRTUwkR1vTY0Oqg60FoNpu12haDMBF827d9m3/ssceS54Uat21hDcWUx8rBferahKWjc/9CLeghtCMoHdc04KY2WYuJgJ+jvR9p6DXaP2a/A+7tZZYDrcxDMxXkIJW/NvY+UpZC5/ah5Zf4JR9cLgILagYehLSckBPx0LQ7gkUbirkkpdyVKFJO2pLbWviyJm7pylnfsvCTg1KfyyHJXhMtluQt1M4pv+1Dw6BtsBYsl8vs1b0mtqccDDF5eM47pGy3m83mUkfRjtUAEd12u1U7X0koag767vBDsd+2uXtE154qXeCgNNgYckhWLp5x7UDTYPm9QxrjkDSMFLbbbWMvAg6NUJu6RklQNNWhxuZfBZTW/Wg0ujTjuYpkquHgCbbpFK6EGC3T8i41jraeNZlMetecuAnjfibXrgbwmJ21aVrL2oNuDZCMt1W/SROBc+6mc+5fOOc+55z7rHPuv9kdXzjn/rVzbr37eye75secc7edc7/jnPuzrZScQboDpf7uJ6zXa7ObVokjdZudpWmMeQ66cC0Kyd8hyWyNemrLjNQEbSkSFhvsKwDe773/EwC+G8B7nXPfvvvtb3rvJ7u/TwHA7rd3A/iTAN4B4H91zl1roezF4EJCFRvz65NTZynwoQ5waJnpcwMNiFzH47FKhqXkG8sTqqFrzbYp8Q2VPIGwLZv3mdz8FiHEiHaIfaeEhJMmAu/98wCe332+45z7HIDXRy55F4CPeu+/CuBp59xtAG8H8C+zS9ciQh4JIYGYz+fBRSuK69Zsu022s6kJ6X6VSpZi8S4ALppLpLtXiadB7LlSE6+t4camwNKdjTAajaIBMdymPzQybRvW9yWS1VwIgXt1WJt0LfKj+a/n9OMsLwLn3BjAnwLwK7tD73POPeWc+ynn3EO7Y68H8Ay77FnECXkwiI3MIXKlzjWE/bWs0OK/m2YlCmGI08GaSLX7YrHAYrEYlN2xBHxXj65nDH3sE1cr8s5MsM651wD4GQBz7/2XAfxdAG8CMMG5hkuRApoD7qVoBufco865J5xzT3z5y1/OLvgRh4urTLhXGVd9kbENO6wpkss5940APgngF7z3f0P5fQzgk97773DO/RgAeO//+u63XwCw8N4HTQTOuX8D4P8F8PmCd+gDN3Asaxs4lrUdHMtaF/+O9/6bLScmbbDOOQfgQwA+x8nVOffIzj4LAH8ewGd2nz8B4B865/4GgD8G4M0AfjX2DO/9NzvnnvDev81S6L5xLGs7OJa1HRzL2h8sfrDfA+A/BfBbzjky3v04gB9yzk1wPv3fAPjLAOC9/6xz7uMAfhvnHgjv9d7bM9QeccQRR1wRWLwIfgm6XfVTkWs+COCDDcp1xBFHHHHwGFIugsf7LkAGjmVtB8eytoNjWXvCINIVHnHEEUdcRQxJgz3iiCOOuFLonWCdc+/Y5Sy47Zz7QN/lkXDObZxzv7XLt/DE7thrnXP/3Dn3r3b/H0rdp8Xy/ZRz7kXn3GfYMbV87hx/a1fXTznn3jqAsg4mp4UoaygHx+Dq9hDyhbDn/hHn3K86535zV9b/fnf8jc65X9nV68eccw/ujr9q9/327vdxV2WtAu99b38ArgH4PQDfCuBBAL8J4Nv7LJNSxg2AG+LY/wTgA7vPHwDwP/ZYvu8F8FYAn0mVD8A7AfxTnC9afjeAXxlAWRcA/lvl3G/fycOrALxxJyfXOizrIwDeuvt8HcDv7so0uLqNlHVwdburn9fsPn8jzqNCvxvAxwG8e3f87wH4L3af/0sAf2/3+d0APtalzDb961uDfTuA29773/fefw3AR3Gey2DoeBeAD+8+fxhAbyEu3vtfBPBFcThUvncB+Ig/xy8DGDnnHummpMGyhrDPaeG9fxoA5bToBN775733v7H7fAcA5eAYXN1GyhpCb3W7q5+Xdl+/cffnAfyHAP7R7risV6rvfwTg+3a++QeBvgn2EPIWeAD/zDn36865R3fHXud3QRa7/9/SW+l0hMo31PoedE4LkYNj0HV7CPlCnHPXdj71LwL45zjXoLfe+1eU8uzLuvv9DwE83FVZm6JvgjXlLegZ3+O9fyuA78d5qsbv7btADTDE+m6U06JtuMs5OIKnKsc6La9S1kHWrff+rvd+AuANONec/0SkPL3XaxP0TbDPArjJvr8BwHM9lUWF9/653f8XAfwszgXiBZr+7f6/2F8JVYTKN7j69t6/sOtwXwfw93Fvqtp7Wd15Do6fAfAPvPf/eHd4kHWrlXXIdbsr3xbACuc22JFzjgKfeHn2Zd39/k2wm5l6R98E+2sA3rxbQXwQ50bsT/Rcpj2cc3/UOXedPgP4MzjPufAJAO/ZnfYeAD/XTwmDCJXvEwD+4m7F+7sB/KG/l0+iFwg7pcxp8e7dKvIbYchpUblcag4ODLBuQ2UdYt06577ZOTfafX41gP8I5zbjfwHgL+xOk/VK9f0XAPzffrfidRDoe5UN56uvv4tzO8xf7bs8omzfivPV1t8E8FkqH85tQJ8G8K92/1/bYxl/GufTv/8P56P9j4TKh/Pp1t/Z1fVvAXjbAMr6v+3K8hTOO9Mj7Py/uivr7wD4/o7L+qdxPhV9CsB69/fOIdZtpKyDq1sA/y6AJ3dl+gyA/253/FtxTvK3AfwfAF61O/5Hdt9v737/1i7loOnfMZLriCOOOKIl9G0iOOKII464sjgS7BFHHHFESzgS7BFHHHFESzgS7BFHHHFESzgS7BFHHHFESzgS7BFHHHFESzgS7BFHHHFESzgS7BFHHHFES/j/AfSZCajc09xRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 10 / 30, energy = 45082.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "iteration 11 / 30, energy = 45090.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "filtered_image = mrf.run(30, verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = np.array([[5,6,5,1],\n",
    "             [1,6,6,1],\n",
    "             [5,1,5,1],\n",
    "             [1,1,1,1]\n",
    "             ]\n",
    ")\n",
    "ones = np.ones((10,10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1.]])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ids = np.stack((x[1:, :], x[:-1,:]), axis=-1)\n",
    "ones[ids[...,0], ids[...,1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([[1, 6, 6, 1],\n",
       "        [5, 1, 5, 1],\n",
       "        [1, 1, 1, 1]]), array([[5, 6, 5, 1],\n",
       "        [1, 6, 6, 1],\n",
       "        [5, 1, 5, 1]]))"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(x[1:, :], x[:-1,:])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
